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Finding the Fourth Proportional to 48,878.75, 67,454.10 and 27,657.56

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Solution

The fourth proportional to 48,878.75, 67,454.10 and 27,657.56 is: 38,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878.75 : 67,454.10 = 27,657.56 : x
  2. Step 2: Convert to fraction form
    48,878.75/67,454.10 = 27,657.56/x
  3. Step 3: Cross multiply
    48,878.75x = 67,454.10 × 27,657.56
  4. Step 4: Simplify right side
    48,878.75x = 1,865,615,986.63
  5. Step 5: Solve for x
    x = 1,865,615,986.63/48,878.75
  6. Step 6: Final answer
    x = 38,168.24

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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.