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Finding the Fourth Proportional to 48,761, 67,291.48 and 27,543.40

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Solution

The fourth proportional to 48,761, 67,291.48 and 27,543.40 is: 38,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,761 : 67,291.48 = 27,543.40 : x
  2. Step 2: Convert to fraction form
    48,761/67,291.48 = 27,543.40/x
  3. Step 3: Cross multiply
    48,761x = 67,291.48 × 27,543.40
  4. Step 4: Simplify right side
    48,761x = 1,853,436,150.23
  5. Step 5: Solve for x
    x = 1,853,436,150.23/48,761
  6. Step 6: Final answer
    x = 38,010.63

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1.5x scale

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.