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Finding the Fourth Proportional to 32,171.31, 44,395.34 and 17,830.53

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Solution

The fourth proportional to 32,171.31, 44,395.34 and 17,830.53 is: 24,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.31 : 44,395.34 = 17,830.53 : x
  2. Step 2: Convert to fraction form
    32,171.31/44,395.34 = 17,830.53/x
  3. Step 3: Cross multiply
    32,171.31x = 44,395.34 × 17,830.53
  4. Step 4: Simplify right side
    32,171.31x = 791,592,352.58
  5. Step 5: Solve for x
    x = 791,592,352.58/32,171.31
  6. Step 6: Final answer
    x = 24,605.54

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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.