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Finding the Fourth Proportional to 41,646.64, 62,474.04 and 13,565.44

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Solution

The fourth proportional to 41,646.64, 62,474.04 and 13,565.44 is: 20,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.64 : 62,474.04 = 13,565.44 : x
  2. Step 2: Convert to fraction form
    41,646.64/62,474.04 = 13,565.44/x
  3. Step 3: Cross multiply
    41,646.64x = 62,474.04 × 13,565.44
  4. Step 4: Simplify right side
    41,646.64x = 847,487,841.18
  5. Step 5: Solve for x
    x = 847,487,841.18/41,646.64
  6. Step 6: Final answer
    x = 20,349.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.