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Finding the Fourth Proportional to 48,854.42, 67,416.72 and 27,633.23

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Solution

The fourth proportional to 48,854.42, 67,416.72 and 27,633.23 is: 38,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,854.42 : 67,416.72 = 27,633.23 : x
  2. Step 2: Convert to fraction form
    48,854.42/67,416.72 = 27,633.23/x
  3. Step 3: Cross multiply
    48,854.42x = 67,416.72 × 27,633.23
  4. Step 4: Simplify right side
    48,854.42x = 1,862,941,729.61
  5. Step 5: Solve for x
    x = 1,862,941,729.61/48,854.42
  6. Step 6: Final answer
    x = 38,132.51

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Why These Related Problems?

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