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Finding the Fourth Proportional to 32,505.78, 48,758.67 and 11,440.86

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Solution

The fourth proportional to 32,505.78, 48,758.67 and 11,440.86 is: 17,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.78 : 48,758.67 = 11,440.86 : x
  2. Step 2: Convert to fraction form
    32,505.78/48,758.67 = 11,440.86/x
  3. Step 3: Cross multiply
    32,505.78x = 48,758.67 × 11,440.86
  4. Step 4: Simplify right side
    32,505.78x = 557,841,117.26
  5. Step 5: Solve for x
    x = 557,841,117.26/32,505.78
  6. Step 6: Final answer
    x = 17,161.29

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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.