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Finding the Fourth Proportional to 32,494.26, 48,741.68 and 11,434.47

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Solution

The fourth proportional to 32,494.26, 48,741.68 and 11,434.47 is: 17,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.26 : 48,741.68 = 11,434.47 : x
  2. Step 2: Convert to fraction form
    32,494.26/48,741.68 = 11,434.47/x
  3. Step 3: Cross multiply
    32,494.26x = 48,741.68 × 11,434.47
  4. Step 4: Simplify right side
    32,494.26x = 557,335,123.51
  5. Step 5: Solve for x
    x = 557,335,123.51/32,494.26
  6. Step 6: Final answer
    x = 17,151.80

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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.