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Finding the Fourth Proportional to 77,335.20, 106,773.99 and 59,398.14

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Solution

The fourth proportional to 77,335.20, 106,773.99 and 59,398.14 is: 82,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,335.20 : 106,773.99 = 59,398.14 : x
  2. Step 2: Convert to fraction form
    77,335.20/106,773.99 = 59,398.14/x
  3. Step 3: Cross multiply
    77,335.20x = 106,773.99 × 59,398.14
  4. Step 4: Simplify right side
    77,335.20x = 6,342,176,406.38
  5. Step 5: Solve for x
    x = 6,342,176,406.38/77,335.20
  6. Step 6: Final answer
    x = 82,008.92

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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.