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Finding the Fourth Proportional to 32,022, 44,189.81 and 17,681.47

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Solution

The fourth proportional to 32,022, 44,189.81 and 17,681.47 is: 24,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022 : 44,189.81 = 17,681.47 : x
  2. Step 2: Convert to fraction form
    32,022/44,189.81 = 17,681.47/x
  3. Step 3: Cross multiply
    32,022x = 44,189.81 × 17,681.47
  4. Step 4: Simplify right side
    32,022x = 781,340,915.81
  5. Step 5: Solve for x
    x = 781,340,915.81/32,022
  6. Step 6: Final answer
    x = 24,400.13

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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.