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Finding the Fourth Proportional to 42,407.68, 63,586.50 and 16,114.24

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Solution

The fourth proportional to 42,407.68, 63,586.50 and 16,114.24 is: 24,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.68 : 63,586.50 = 16,114.24 : x
  2. Step 2: Convert to fraction form
    42,407.68/63,586.50 = 16,114.24/x
  3. Step 3: Cross multiply
    42,407.68x = 63,586.50 × 16,114.24
  4. Step 4: Simplify right side
    42,407.68x = 1,024,648,121.76
  5. Step 5: Solve for x
    x = 1,024,648,121.76/42,407.68
  6. Step 6: Final answer
    x = 24,161.85

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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.