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Finding the Fourth Proportional to 51,308.40, 71,656.80 and 51,308.40

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Solution

The fourth proportional to 51,308.40, 71,656.80 and 51,308.40 is: 71,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,308.40 : 71,656.80 = 51,308.40 : x
  2. Step 2: Convert to fraction form
    51,308.40/71,656.80 = 51,308.40/x
  3. Step 3: Cross multiply
    51,308.40x = 71,656.80 × 51,308.40
  4. Step 4: Simplify right side
    51,308.40x = 3,676,595,757.12
  5. Step 5: Solve for x
    x = 3,676,595,757.12/51,308.40
  6. Step 6: Final answer
    x = 71,656.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.