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Finding the Fourth Proportional to 98,098.72, 147,169.84 and 35,769.04

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Solution

The fourth proportional to 98,098.72, 147,169.84 and 35,769.04 is: 53,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.72 : 147,169.84 = 35,769.04 : x
  2. Step 2: Convert to fraction form
    98,098.72/147,169.84 = 35,769.04/x
  3. Step 3: Cross multiply
    98,098.72x = 147,169.84 × 35,769.04
  4. Step 4: Simplify right side
    98,098.72x = 5,264,123,893.75
  5. Step 5: Solve for x
    x = 5,264,123,893.75/98,098.72
  6. Step 6: Final answer
    x = 53,661.49

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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.