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Finding the Fourth Proportional to 48,506.88, 72,760.86 and 13,446.84

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Solution

The fourth proportional to 48,506.88, 72,760.86 and 13,446.84 is: 20,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,506.88 : 72,760.86 = 13,446.84 : x
  2. Step 2: Convert to fraction form
    48,506.88/72,760.86 = 13,446.84/x
  3. Step 3: Cross multiply
    48,506.88x = 72,760.86 × 13,446.84
  4. Step 4: Simplify right side
    48,506.88x = 978,403,642.68
  5. Step 5: Solve for x
    x = 978,403,642.68/48,506.88
  6. Step 6: Final answer
    x = 20,170.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.