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Finding the Fourth Proportional to 108,727.74, 163,062.09 and 29,823.30

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Solution

The fourth proportional to 108,727.74, 163,062.09 and 29,823.30 is: 44,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,727.74 : 163,062.09 = 29,823.30 : x
  2. Step 2: Convert to fraction form
    108,727.74/163,062.09 = 29,823.30/x
  3. Step 3: Cross multiply
    108,727.74x = 163,062.09 × 29,823.30
  4. Step 4: Simplify right side
    108,727.74x = 4,863,049,628.70
  5. Step 5: Solve for x
    x = 4,863,049,628.70/108,727.74
  6. Step 6: Final answer
    x = 44,726.85

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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.