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Finding the Fourth Proportional to 32,123.66, 44,331.23 and 17,976.47

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Solution

The fourth proportional to 32,123.66, 44,331.23 and 17,976.47 is: 24,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.66 : 44,331.23 = 17,976.47 : x
  2. Step 2: Convert to fraction form
    32,123.66/44,331.23 = 17,976.47/x
  3. Step 3: Cross multiply
    32,123.66x = 44,331.23 × 17,976.47
  4. Step 4: Simplify right side
    32,123.66x = 796,918,849.44
  5. Step 5: Solve for x
    x = 796,918,849.44/32,123.66
  6. Step 6: Final answer
    x = 24,807.85

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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.