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Finding the Fourth Proportional to 41,565.40, 62,348.06 and 10,400.64

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Solution

The fourth proportional to 41,565.40, 62,348.06 and 10,400.64 is: 15,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,565.40 : 62,348.06 = 10,400.64 : x
  2. Step 2: Convert to fraction form
    41,565.40/62,348.06 = 10,400.64/x
  3. Step 3: Cross multiply
    41,565.40x = 62,348.06 × 10,400.64
  4. Step 4: Simplify right side
    41,565.40x = 648,459,726.76
  5. Step 5: Solve for x
    x = 648,459,726.76/41,565.40
  6. Step 6: Final answer
    x = 15,600.95

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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.