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Finding the Fourth Proportional to 32,167.67, 48,235.04 and 13,442.59

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Solution

The fourth proportional to 32,167.67, 48,235.04 and 13,442.59 is: 20,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.67 : 48,235.04 = 13,442.59 : x
  2. Step 2: Convert to fraction form
    32,167.67/48,235.04 = 13,442.59/x
  3. Step 3: Cross multiply
    32,167.67x = 48,235.04 × 13,442.59
  4. Step 4: Simplify right side
    32,167.67x = 648,403,557.97
  5. Step 5: Solve for x
    x = 648,403,557.97/32,167.67
  6. Step 6: Final answer
    x = 20,157.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.