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Finding the Fourth Proportional to 98,422.64, 147,543.12 and 39,244

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Solution

The fourth proportional to 98,422.64, 147,543.12 and 39,244 is: 58,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422.64 : 147,543.12 = 39,244 : x
  2. Step 2: Convert to fraction form
    98,422.64/147,543.12 = 39,244/x
  3. Step 3: Cross multiply
    98,422.64x = 147,543.12 × 39,244
  4. Step 4: Simplify right side
    98,422.64x = 5,790,182,201.28
  5. Step 5: Solve for x
    x = 5,790,182,201.28/98,422.64
  6. Step 6: Final answer
    x = 58,829.78

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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.