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Finding the Fourth Proportional to 48,613.48, 67,089.06 and 29,745

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Solution

The fourth proportional to 48,613.48, 67,089.06 and 29,745 is: 41,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,613.48 : 67,089.06 = 29,745 : x
  2. Step 2: Convert to fraction form
    48,613.48/67,089.06 = 29,745/x
  3. Step 3: Cross multiply
    48,613.48x = 67,089.06 × 29,745
  4. Step 4: Simplify right side
    48,613.48x = 1,995,564,089.70
  5. Step 5: Solve for x
    x = 1,995,564,089.70/48,613.48
  6. Step 6: Final answer
    x = 41,049.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.