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Finding the Fourth Proportional to 32,753.92, 49,141.26 and 11,693.50

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Solution

The fourth proportional to 32,753.92, 49,141.26 and 11,693.50 is: 17,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.92 : 49,141.26 = 11,693.50 : x
  2. Step 2: Convert to fraction form
    32,753.92/49,141.26 = 11,693.50/x
  3. Step 3: Cross multiply
    32,753.92x = 49,141.26 × 11,693.50
  4. Step 4: Simplify right side
    32,753.92x = 574,633,019.64
  5. Step 5: Solve for x
    x = 574,633,019.64/32,753.92
  6. Step 6: Final answer
    x = 17,543.95

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