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Finding the Fourth Proportional to 47,885.25, 71,803.84 and 27,901.20

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Solution

The fourth proportional to 47,885.25, 71,803.84 and 27,901.20 is: 41,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,885.25 : 71,803.84 = 27,901.20 : x
  2. Step 2: Convert to fraction form
    47,885.25/71,803.84 = 27,901.20/x
  3. Step 3: Cross multiply
    47,885.25x = 71,803.84 × 27,901.20
  4. Step 4: Simplify right side
    47,885.25x = 2,003,413,300.61
  5. Step 5: Solve for x
    x = 2,003,413,300.61/47,885.25
  6. Step 6: Final answer
    x = 41,837.80

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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.