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Finding the Fourth Proportional to 32,411.90, 44,728.45 and 17,507.90

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Solution

The fourth proportional to 32,411.90, 44,728.45 and 17,507.90 is: 24,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.90 : 44,728.45 = 17,507.90 : x
  2. Step 2: Convert to fraction form
    32,411.90/44,728.45 = 17,507.90/x
  3. Step 3: Cross multiply
    32,411.90x = 44,728.45 × 17,507.90
  4. Step 4: Simplify right side
    32,411.90x = 783,101,229.76
  5. Step 5: Solve for x
    x = 783,101,229.76/32,411.90
  6. Step 6: Final answer
    x = 24,160.92

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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.