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Finding the Fourth Proportional to 98,950.38, 148,446.38 and 32,385.35

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Solution

The fourth proportional to 98,950.38, 148,446.38 and 32,385.35 is: 48,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,950.38 : 148,446.38 = 32,385.35 : x
  2. Step 2: Convert to fraction form
    98,950.38/148,446.38 = 32,385.35/x
  3. Step 3: Cross multiply
    98,950.38x = 148,446.38 × 32,385.35
  4. Step 4: Simplify right side
    98,950.38x = 4,807,487,311.26
  5. Step 5: Solve for x
    x = 4,807,487,311.26/98,950.38
  6. Step 6: Final answer
    x = 48,584.83

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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.