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Finding the Fourth Proportional to 77,635.77, 116,366.17 and 38,220.56

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Solution

The fourth proportional to 77,635.77, 116,366.17 and 38,220.56 is: 57,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,635.77 : 116,366.17 = 38,220.56 : x
  2. Step 2: Convert to fraction form
    77,635.77/116,366.17 = 38,220.56/x
  3. Step 3: Cross multiply
    77,635.77x = 116,366.17 × 38,220.56
  4. Step 4: Simplify right side
    77,635.77x = 4,447,580,013.11
  5. Step 5: Solve for x
    x = 4,447,580,013.11/77,635.77
  6. Step 6: Final answer
    x = 57,287.77

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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.