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Finding the Fourth Proportional to 98,712.90, 148,060.17 and 27,641.97

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Solution

The fourth proportional to 98,712.90, 148,060.17 and 27,641.97 is: 41,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712.90 : 148,060.17 = 27,641.97 : x
  2. Step 2: Convert to fraction form
    98,712.90/148,060.17 = 27,641.97/x
  3. Step 3: Cross multiply
    98,712.90x = 148,060.17 × 27,641.97
  4. Step 4: Simplify right side
    98,712.90x = 4,092,674,777.33
  5. Step 5: Solve for x
    x = 4,092,674,777.33/98,712.90
  6. Step 6: Final answer
    x = 41,460.38

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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.