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Finding the Fourth Proportional to 32,414.27, 44,740.02 and 21,111.93

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Solution

The fourth proportional to 32,414.27, 44,740.02 and 21,111.93 is: 29,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.27 : 44,740.02 = 21,111.93 : x
  2. Step 2: Convert to fraction form
    32,414.27/44,740.02 = 21,111.93/x
  3. Step 3: Cross multiply
    32,414.27x = 44,740.02 × 21,111.93
  4. Step 4: Simplify right side
    32,414.27x = 944,548,170.44
  5. Step 5: Solve for x
    x = 944,548,170.44/32,414.27
  6. Step 6: Final answer
    x = 29,139.89

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