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Finding the Fourth Proportional to 32,234.38, 44,463.12 and 21,475.86

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Solution

The fourth proportional to 32,234.38, 44,463.12 and 21,475.86 is: 29,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.38 : 44,463.12 = 21,475.86 : x
  2. Step 2: Convert to fraction form
    32,234.38/44,463.12 = 21,475.86/x
  3. Step 3: Cross multiply
    32,234.38x = 44,463.12 × 21,475.86
  4. Step 4: Simplify right side
    32,234.38x = 954,883,740.28
  5. Step 5: Solve for x
    x = 954,883,740.28/32,234.38
  6. Step 6: Final answer
    x = 29,623.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.