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Finding the Fourth Proportional to 47,801.76, 65,964.87 and 26,580.66

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Solution

The fourth proportional to 47,801.76, 65,964.87 and 26,580.66 is: 36,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,801.76 : 65,964.87 = 26,580.66 : x
  2. Step 2: Convert to fraction form
    47,801.76/65,964.87 = 26,580.66/x
  3. Step 3: Cross multiply
    47,801.76x = 65,964.87 × 26,580.66
  4. Step 4: Simplify right side
    47,801.76x = 1,753,389,781.41
  5. Step 5: Solve for x
    x = 1,753,389,781.41/47,801.76
  6. Step 6: Final answer
    x = 36,680.44

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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.