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Finding the Fourth Proportional to 32,507.78, 48,761.67 and 11,442.86

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Solution

The fourth proportional to 32,507.78, 48,761.67 and 11,442.86 is: 17,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.78 : 48,761.67 = 11,442.86 : x
  2. Step 2: Convert to fraction form
    32,507.78/48,761.67 = 11,442.86/x
  3. Step 3: Cross multiply
    32,507.78x = 48,761.67 × 11,442.86
  4. Step 4: Simplify right side
    32,507.78x = 557,972,963.18
  5. Step 5: Solve for x
    x = 557,972,963.18/32,507.78
  6. Step 6: Final answer
    x = 17,164.29

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Why These Related Problems?

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