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Finding the Fourth Proportional to 59,727.20, 89,461.20 and 51,951.20

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Solution

The fourth proportional to 59,727.20, 89,461.20 and 51,951.20 is: 77,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,727.20 : 89,461.20 = 51,951.20 : x
  2. Step 2: Convert to fraction form
    59,727.20/89,461.20 = 51,951.20/x
  3. Step 3: Cross multiply
    59,727.20x = 89,461.20 × 51,951.20
  4. Step 4: Simplify right side
    59,727.20x = 4,647,616,693.44
  5. Step 5: Solve for x
    x = 4,647,616,693.44/59,727.20
  6. Step 6: Final answer
    x = 77,814.07

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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.