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Finding the Fourth Proportional to 98,010.86, 147,064.92 and 38,845.22

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Solution

The fourth proportional to 98,010.86, 147,064.92 and 38,845.22 is: 58,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,010.86 : 147,064.92 = 38,845.22 : x
  2. Step 2: Convert to fraction form
    98,010.86/147,064.92 = 38,845.22/x
  3. Step 3: Cross multiply
    98,010.86x = 147,064.92 × 38,845.22
  4. Step 4: Simplify right side
    98,010.86x = 5,712,769,171.68
  5. Step 5: Solve for x
    x = 5,712,769,171.68/98,010.86
  6. Step 6: Final answer
    x = 58,287.10

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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.