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Finding the Fourth Proportional to 32,024.41, 44,159.22 and 22,461.16

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Solution

The fourth proportional to 32,024.41, 44,159.22 and 22,461.16 is: 30,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.41 : 44,159.22 = 22,461.16 : x
  2. Step 2: Convert to fraction form
    32,024.41/44,159.22 = 22,461.16/x
  3. Step 3: Cross multiply
    32,024.41x = 44,159.22 × 22,461.16
  4. Step 4: Simplify right side
    32,024.41x = 991,867,305.90
  5. Step 5: Solve for x
    x = 991,867,305.90/32,024.41
  6. Step 6: Final answer
    x = 30,972.23

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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.