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Finding the Fourth Proportional to 32,412.72, 48,597.48 and 11,633.52

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Solution

The fourth proportional to 32,412.72, 48,597.48 and 11,633.52 is: 17,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.72 : 48,597.48 = 11,633.52 : x
  2. Step 2: Convert to fraction form
    32,412.72/48,597.48 = 11,633.52/x
  3. Step 3: Cross multiply
    32,412.72x = 48,597.48 × 11,633.52
  4. Step 4: Simplify right side
    32,412.72x = 565,359,755.53
  5. Step 5: Solve for x
    x = 565,359,755.53/32,412.72
  6. Step 6: Final answer
    x = 17,442.53

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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.