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Finding the Fourth Proportional to 42,951.07, 64,411.17 and 14,863.50

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Solution

The fourth proportional to 42,951.07, 64,411.17 and 14,863.50 is: 22,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,951.07 : 64,411.17 = 14,863.50 : x
  2. Step 2: Convert to fraction form
    42,951.07/64,411.17 = 14,863.50/x
  3. Step 3: Cross multiply
    42,951.07x = 64,411.17 × 14,863.50
  4. Step 4: Simplify right side
    42,951.07x = 957,375,188.40
  5. Step 5: Solve for x
    x = 957,375,188.40/42,951.07
  6. Step 6: Final answer
    x = 22,289.90

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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.