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Finding the Fourth Proportional to 32,029.68, 44,203.14 and 17,882.22

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Solution

The fourth proportional to 32,029.68, 44,203.14 and 17,882.22 is: 24,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.68 : 44,203.14 = 17,882.22 : x
  2. Step 2: Convert to fraction form
    32,029.68/44,203.14 = 17,882.22/x
  3. Step 3: Cross multiply
    32,029.68x = 44,203.14 × 17,882.22
  4. Step 4: Simplify right side
    32,029.68x = 790,450,274.17
  5. Step 5: Solve for x
    x = 790,450,274.17/32,029.68
  6. Step 6: Final answer
    x = 24,678.68

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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.