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Finding the Fourth Proportional to 48,820.26, 67,373.10 and 27,600.78

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Solution

The fourth proportional to 48,820.26, 67,373.10 and 27,600.78 is: 38,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820.26 : 67,373.10 = 27,600.78 : x
  2. Step 2: Convert to fraction form
    48,820.26/67,373.10 = 27,600.78/x
  3. Step 3: Cross multiply
    48,820.26x = 67,373.10 × 27,600.78
  4. Step 4: Simplify right side
    48,820.26x = 1,859,550,111.02
  5. Step 5: Solve for x
    x = 1,859,550,111.02/48,820.26
  6. Step 6: Final answer
    x = 38,089.72

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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.