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Finding the Fourth Proportional to 77,706.34, 116,405.18 and 59,875.13

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Solution

The fourth proportional to 77,706.34, 116,405.18 and 59,875.13 is: 89,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706.34 : 116,405.18 = 59,875.13 : x
  2. Step 2: Convert to fraction form
    77,706.34/116,405.18 = 59,875.13/x
  3. Step 3: Cross multiply
    77,706.34x = 116,405.18 × 59,875.13
  4. Step 4: Simplify right side
    77,706.34x = 6,969,775,285.17
  5. Step 5: Solve for x
    x = 6,969,775,285.17/77,706.34
  6. Step 6: Final answer
    x = 89,693.78

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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.