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Finding the Fourth Proportional to 32,411.86, 44,728.37 and 17,507.86

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Solution

The fourth proportional to 32,411.86, 44,728.37 and 17,507.86 is: 24,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.86 : 44,728.37 = 17,507.86 : x
  2. Step 2: Convert to fraction form
    32,411.86/44,728.37 = 17,507.86/x
  3. Step 3: Cross multiply
    32,411.86x = 44,728.37 × 17,507.86
  4. Step 4: Simplify right side
    32,411.86x = 783,097,957.32
  5. Step 5: Solve for x
    x = 783,097,957.32/32,411.86
  6. Step 6: Final answer
    x = 24,160.85

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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.