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Finding the Fourth Proportional to 78,121.62, 117,187.91 and 31,374.50

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Solution

The fourth proportional to 78,121.62, 117,187.91 and 31,374.50 is: 47,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121.62 : 117,187.91 = 31,374.50 : x
  2. Step 2: Convert to fraction form
    78,121.62/117,187.91 = 31,374.50/x
  3. Step 3: Cross multiply
    78,121.62x = 117,187.91 × 31,374.50
  4. Step 4: Simplify right side
    78,121.62x = 3,676,712,082.30
  5. Step 5: Solve for x
    x = 3,676,712,082.30/78,121.62
  6. Step 6: Final answer
    x = 47,063.95

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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.