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Finding the Fourth Proportional to 48,378.48, 66,759 and 27,154.80

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Solution

The fourth proportional to 48,378.48, 66,759 and 27,154.80 is: 37,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378.48 : 66,759 = 27,154.80 : x
  2. Step 2: Convert to fraction form
    48,378.48/66,759 = 27,154.80/x
  3. Step 3: Cross multiply
    48,378.48x = 66,759 × 27,154.80
  4. Step 4: Simplify right side
    48,378.48x = 1,812,827,293.20
  5. Step 5: Solve for x
    x = 1,812,827,293.20/48,378.48
  6. Step 6: Final answer
    x = 37,471.77

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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.