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Finding the Fourth Proportional to 47,785.80, 65,937.16 and 27,638.66

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Solution

The fourth proportional to 47,785.80, 65,937.16 and 27,638.66 is: 38,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,785.80 : 65,937.16 = 27,638.66 : x
  2. Step 2: Convert to fraction form
    47,785.80/65,937.16 = 27,638.66/x
  3. Step 3: Cross multiply
    47,785.80x = 65,937.16 × 27,638.66
  4. Step 4: Simplify right side
    47,785.80x = 1,822,414,746.61
  5. Step 5: Solve for x
    x = 1,822,414,746.61/47,785.80
  6. Step 6: Final answer
    x = 38,137.16

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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.