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Finding the Fourth Proportional to 32,165.01, 44,387.82 and 17,825.49

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Solution

The fourth proportional to 32,165.01, 44,387.82 and 17,825.49 is: 24,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.01 : 44,387.82 = 17,825.49 : x
  2. Step 2: Convert to fraction form
    32,165.01/44,387.82 = 17,825.49/x
  3. Step 3: Cross multiply
    32,165.01x = 44,387.82 × 17,825.49
  4. Step 4: Simplify right side
    32,165.01x = 791,234,641.53
  5. Step 5: Solve for x
    x = 791,234,641.53/32,165.01
  6. Step 6: Final answer
    x = 24,599.24

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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.