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Finding the Fourth Proportional to 77,694.32, 107,151.92 and 65,653.60

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Solution

The fourth proportional to 77,694.32, 107,151.92 and 65,653.60 is: 90,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,694.32 : 107,151.92 = 65,653.60 : x
  2. Step 2: Convert to fraction form
    77,694.32/107,151.92 = 65,653.60/x
  3. Step 3: Cross multiply
    77,694.32x = 107,151.92 × 65,653.60
  4. Step 4: Simplify right side
    77,694.32x = 7,034,909,294.91
  5. Step 5: Solve for x
    x = 7,034,909,294.91/77,694.32
  6. Step 6: Final answer
    x = 90,545.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.