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Finding the Fourth Proportional to 77,242.50, 115,839.18 and 24,639.84

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Solution

The fourth proportional to 77,242.50, 115,839.18 and 24,639.84 is: 36,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242.50 : 115,839.18 = 24,639.84 : x
  2. Step 2: Convert to fraction form
    77,242.50/115,839.18 = 24,639.84/x
  3. Step 3: Cross multiply
    77,242.50x = 115,839.18 × 24,639.84
  4. Step 4: Simplify right side
    77,242.50x = 2,854,258,860.93
  5. Step 5: Solve for x
    x = 2,854,258,860.93/77,242.50
  6. Step 6: Final answer
    x = 36,951.92

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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.