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Finding the Fourth Proportional to 48,747.40, 73,064.40 and 22,454.80

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Solution

The fourth proportional to 48,747.40, 73,064.40 and 22,454.80 is: 33,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,747.40 : 73,064.40 = 22,454.80 : x
  2. Step 2: Convert to fraction form
    48,747.40/73,064.40 = 22,454.80/x
  3. Step 3: Cross multiply
    48,747.40x = 73,064.40 × 22,454.80
  4. Step 4: Simplify right side
    48,747.40x = 1,640,646,489.12
  5. Step 5: Solve for x
    x = 1,640,646,489.12/48,747.40
  6. Step 6: Final answer
    x = 33,656.08

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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.