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Finding the Fourth Proportional to 41,406.72, 62,070 and 16,438.56

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Solution

The fourth proportional to 41,406.72, 62,070 and 16,438.56 is: 24,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,406.72 : 62,070 = 16,438.56 : x
  2. Step 2: Convert to fraction form
    41,406.72/62,070 = 16,438.56/x
  3. Step 3: Cross multiply
    41,406.72x = 62,070 × 16,438.56
  4. Step 4: Simplify right side
    41,406.72x = 1,020,341,419.20
  5. Step 5: Solve for x
    x = 1,020,341,419.20/41,406.72
  6. Step 6: Final answer
    x = 24,641.93

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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.