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Finding the Fourth Proportional to 48,301.80, 72,452.70 and 27,565.80

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Solution

The fourth proportional to 48,301.80, 72,452.70 and 27,565.80 is: 41,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,301.80 : 72,452.70 = 27,565.80 : x
  2. Step 2: Convert to fraction form
    48,301.80/72,452.70 = 27,565.80/x
  3. Step 3: Cross multiply
    48,301.80x = 72,452.70 × 27,565.80
  4. Step 4: Simplify right side
    48,301.80x = 1,997,216,637.66
  5. Step 5: Solve for x
    x = 1,997,216,637.66/48,301.80
  6. Step 6: Final answer
    x = 41,348.70

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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.