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Finding the Fourth Proportional to 98,714.40, 148,062.42 and 27,643.47

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Solution

The fourth proportional to 98,714.40, 148,062.42 and 27,643.47 is: 41,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.40 : 148,062.42 = 27,643.47 : x
  2. Step 2: Convert to fraction form
    98,714.40/148,062.42 = 27,643.47/x
  3. Step 3: Cross multiply
    98,714.40x = 148,062.42 × 27,643.47
  4. Step 4: Simplify right side
    98,714.40x = 4,092,959,065.40
  5. Step 5: Solve for x
    x = 4,092,959,065.40/98,714.40
  6. Step 6: Final answer
    x = 41,462.63

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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.