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Finding the Fourth Proportional to 98,561.40, 147,825.92 and 27,488.87

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Solution

The fourth proportional to 98,561.40, 147,825.92 and 27,488.87 is: 41,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,561.40 : 147,825.92 = 27,488.87 : x
  2. Step 2: Convert to fraction form
    98,561.40/147,825.92 = 27,488.87/x
  3. Step 3: Cross multiply
    98,561.40x = 147,825.92 × 27,488.87
  4. Step 4: Simplify right side
    98,561.40x = 4,063,566,620.94
  5. Step 5: Solve for x
    x = 4,063,566,620.94/98,561.40
  6. Step 6: Final answer
    x = 41,228.78

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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.