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Finding the Fourth Proportional to 32,053.29, 44,231.04 and 17,712.51

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Solution

The fourth proportional to 32,053.29, 44,231.04 and 17,712.51 is: 24,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.29 : 44,231.04 = 17,712.51 : x
  2. Step 2: Convert to fraction form
    32,053.29/44,231.04 = 17,712.51/x
  3. Step 3: Cross multiply
    32,053.29x = 44,231.04 × 17,712.51
  4. Step 4: Simplify right side
    32,053.29x = 783,442,738.31
  5. Step 5: Solve for x
    x = 783,442,738.31/32,053.29
  6. Step 6: Final answer
    x = 24,441.88

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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.