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Finding the Fourth Proportional to 98,049.67, 147,123.11 and 38,884.03

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Solution

The fourth proportional to 98,049.67, 147,123.11 and 38,884.03 is: 58,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,049.67 : 147,123.11 = 38,884.03 : x
  2. Step 2: Convert to fraction form
    98,049.67/147,123.11 = 38,884.03/x
  3. Step 3: Cross multiply
    98,049.67x = 147,123.11 × 38,884.03
  4. Step 4: Simplify right side
    98,049.67x = 5,720,739,422.93
  5. Step 5: Solve for x
    x = 5,720,739,422.93/98,049.67
  6. Step 6: Final answer
    x = 58,345.32

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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.