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Finding the Fourth Proportional to 32,053.14, 44,233.80 and 17,713.31

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Solution

The fourth proportional to 32,053.14, 44,233.80 and 17,713.31 is: 24,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.14 : 44,233.80 = 17,713.31 : x
  2. Step 2: Convert to fraction form
    32,053.14/44,233.80 = 17,713.31/x
  3. Step 3: Cross multiply
    32,053.14x = 44,233.80 × 17,713.31
  4. Step 4: Simplify right side
    32,053.14x = 783,526,790.71
  5. Step 5: Solve for x
    x = 783,526,790.71/32,053.14
  6. Step 6: Final answer
    x = 24,444.62

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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.