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Finding the Fourth Proportional to 78,097.14, 117,145.68 and 31,350

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Solution

The fourth proportional to 78,097.14, 117,145.68 and 31,350 is: 47,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,097.14 : 117,145.68 = 31,350 : x
  2. Step 2: Convert to fraction form
    78,097.14/117,145.68 = 31,350/x
  3. Step 3: Cross multiply
    78,097.14x = 117,145.68 × 31,350
  4. Step 4: Simplify right side
    78,097.14x = 3,672,517,068
  5. Step 5: Solve for x
    x = 3,672,517,068/78,097.14
  6. Step 6: Final answer
    x = 47,024.99

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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.