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Finding the Fourth Proportional to 31,971,567.60, 47,957,351.40 and 31,971,567.60

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Solution

The fourth proportional to 31,971,567.60, 47,957,351.40 and 31,971,567.60 is: 47,957,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971,567.60 : 47,957,351.40 = 31,971,567.60 : x
  2. Step 2: Convert to fraction form
    31,971,567.60/47,957,351.40 = 31,971,567.60/x
  3. Step 3: Cross multiply
    31,971,567.60x = 47,957,351.40 × 31,971,567.60
  4. Step 4: Simplify right side
    31,971,567.60x = 1,533,271,702,202,054.75
  5. Step 5: Solve for x
    x = 1,533,271,702,202,054.75/31,971,567.60
  6. Step 6: Final answer
    x = 47,957,351.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.