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Finding the Fourth Proportional to 98,746.86, 148,129.29 and 32,169.90

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Solution

The fourth proportional to 98,746.86, 148,129.29 and 32,169.90 is: 48,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,746.86 : 148,129.29 = 32,169.90 : x
  2. Step 2: Convert to fraction form
    98,746.86/148,129.29 = 32,169.90/x
  3. Step 3: Cross multiply
    98,746.86x = 148,129.29 × 32,169.90
  4. Step 4: Simplify right side
    98,746.86x = 4,765,304,446.37
  5. Step 5: Solve for x
    x = 4,765,304,446.37/98,746.86
  6. Step 6: Final answer
    x = 48,257.78

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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.