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Finding the Fourth Proportional to 52,205.80, 78,308.70 and 31,469.80

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Solution

The fourth proportional to 52,205.80, 78,308.70 and 31,469.80 is: 47,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.80 : 78,308.70 = 31,469.80 : x
  2. Step 2: Convert to fraction form
    52,205.80/78,308.70 = 31,469.80/x
  3. Step 3: Cross multiply
    52,205.80x = 78,308.70 × 31,469.80
  4. Step 4: Simplify right side
    52,205.80x = 2,464,359,127.26
  5. Step 5: Solve for x
    x = 2,464,359,127.26/52,205.80
  6. Step 6: Final answer
    x = 47,204.70

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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.