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Finding the Fourth Proportional to 32,657.13, 48,919.59 and 27,377.16

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Solution

The fourth proportional to 32,657.13, 48,919.59 and 27,377.16 is: 41,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.13 : 48,919.59 = 27,377.16 : x
  2. Step 2: Convert to fraction form
    32,657.13/48,919.59 = 27,377.16/x
  3. Step 3: Cross multiply
    32,657.13x = 48,919.59 × 27,377.16
  4. Step 4: Simplify right side
    32,657.13x = 1,339,279,442.56
  5. Step 5: Solve for x
    x = 1,339,279,442.56/32,657.13
  6. Step 6: Final answer
    x = 41,010.32

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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.