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Finding the Fourth Proportional to 98,998.61, 148,432.31 and 35,810.42

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Solution

The fourth proportional to 98,998.61, 148,432.31 and 35,810.42 is: 53,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,998.61 : 148,432.31 = 35,810.42 : x
  2. Step 2: Convert to fraction form
    98,998.61/148,432.31 = 35,810.42/x
  3. Step 3: Cross multiply
    98,998.61x = 148,432.31 × 35,810.42
  4. Step 4: Simplify right side
    98,998.61x = 5,315,423,183.62
  5. Step 5: Solve for x
    x = 5,315,423,183.62/98,998.61
  6. Step 6: Final answer
    x = 53,691.90

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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.