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Finding the Fourth Proportional to 98,566.23, 147,847.22 and 27,486.97

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Solution

The fourth proportional to 98,566.23, 147,847.22 and 27,486.97 is: 41,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,566.23 : 147,847.22 = 27,486.97 : x
  2. Step 2: Convert to fraction form
    98,566.23/147,847.22 = 27,486.97/x
  3. Step 3: Cross multiply
    98,566.23x = 147,847.22 × 27,486.97
  4. Step 4: Simplify right side
    98,566.23x = 4,063,872,018.46
  5. Step 5: Solve for x
    x = 4,063,872,018.46/98,566.23
  6. Step 6: Final answer
    x = 41,229.86

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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.