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Finding the Fourth Proportional to 107,710.86, 161,590.86 and 32,837.70

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Solution

The fourth proportional to 107,710.86, 161,590.86 and 32,837.70 is: 49,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,710.86 : 161,590.86 = 32,837.70 : x
  2. Step 2: Convert to fraction form
    107,710.86/161,590.86 = 32,837.70/x
  3. Step 3: Cross multiply
    107,710.86x = 161,590.86 × 32,837.70
  4. Step 4: Simplify right side
    107,710.86x = 5,306,272,183.42
  5. Step 5: Solve for x
    x = 5,306,272,183.42/107,710.86
  6. Step 6: Final answer
    x = 49,264.04

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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.