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Finding the Fourth Proportional to 47,974, 66,204.12 and 28,102

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Solution

The fourth proportional to 47,974, 66,204.12 and 28,102 is: 38,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974 : 66,204.12 = 28,102 : x
  2. Step 2: Convert to fraction form
    47,974/66,204.12 = 28,102/x
  3. Step 3: Cross multiply
    47,974x = 66,204.12 × 28,102
  4. Step 4: Simplify right side
    47,974x = 1,860,468,180.24
  5. Step 5: Solve for x
    x = 1,860,468,180.24/47,974
  6. Step 6: Final answer
    x = 38,780.76

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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.