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Finding the Fourth Proportional to 71,566.20, 107,349.30 and 51,737.40

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Solution

The fourth proportional to 71,566.20, 107,349.30 and 51,737.40 is: 77,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566.20 : 107,349.30 = 51,737.40 : x
  2. Step 2: Convert to fraction form
    71,566.20/107,349.30 = 51,737.40/x
  3. Step 3: Cross multiply
    71,566.20x = 107,349.30 × 51,737.40
  4. Step 4: Simplify right side
    71,566.20x = 5,553,973,673.82
  5. Step 5: Solve for x
    x = 5,553,973,673.82/71,566.20
  6. Step 6: Final answer
    x = 77,606.10

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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.