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Finding the Fourth Proportional to 77,788.95, 116,689.56 and 38,324.52

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Solution

The fourth proportional to 77,788.95, 116,689.56 and 38,324.52 is: 57,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788.95 : 116,689.56 = 38,324.52 : x
  2. Step 2: Convert to fraction form
    77,788.95/116,689.56 = 38,324.52/x
  3. Step 3: Cross multiply
    77,788.95x = 116,689.56 × 38,324.52
  4. Step 4: Simplify right side
    77,788.95x = 4,472,071,376.01
  5. Step 5: Solve for x
    x = 4,472,071,376.01/77,788.95
  6. Step 6: Final answer
    x = 57,489.80

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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.