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Finding the Fourth Proportional to 98,092.38, 147,139.94 and 27,971.72

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Solution

The fourth proportional to 98,092.38, 147,139.94 and 27,971.72 is: 41,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092.38 : 147,139.94 = 27,971.72 : x
  2. Step 2: Convert to fraction form
    98,092.38/147,139.94 = 27,971.72/x
  3. Step 3: Cross multiply
    98,092.38x = 147,139.94 × 27,971.72
  4. Step 4: Simplify right side
    98,092.38x = 4,115,757,202.50
  5. Step 5: Solve for x
    x = 4,115,757,202.50/98,092.38
  6. Step 6: Final answer
    x = 41,957.97

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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.