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Finding the Fourth Proportional to 77,498.31, 116,298.50 and 42,462.57

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Solution

The fourth proportional to 77,498.31, 116,298.50 and 42,462.57 is: 63,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498.31 : 116,298.50 = 42,462.57 : x
  2. Step 2: Convert to fraction form
    77,498.31/116,298.50 = 42,462.57/x
  3. Step 3: Cross multiply
    77,498.31x = 116,298.50 × 42,462.57
  4. Step 4: Simplify right side
    77,498.31x = 4,938,332,984.83
  5. Step 5: Solve for x
    x = 4,938,332,984.83/77,498.31
  6. Step 6: Final answer
    x = 63,721.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.