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Finding the Fourth Proportional to 98,914.92, 148,391.82 and 36,585.96

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Solution

The fourth proportional to 98,914.92, 148,391.82 and 36,585.96 is: 54,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914.92 : 148,391.82 = 36,585.96 : x
  2. Step 2: Convert to fraction form
    98,914.92/148,391.82 = 36,585.96/x
  3. Step 3: Cross multiply
    98,914.92x = 148,391.82 × 36,585.96
  4. Step 4: Simplify right side
    98,914.92x = 5,429,057,190.85
  5. Step 5: Solve for x
    x = 5,429,057,190.85/98,914.92
  6. Step 6: Final answer
    x = 54,886.13

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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.