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Finding the Fourth Proportional to 47,753.60, 65,881.10 and 27,606.77

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Solution

The fourth proportional to 47,753.60, 65,881.10 and 27,606.77 is: 38,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753.60 : 65,881.10 = 27,606.77 : x
  2. Step 2: Convert to fraction form
    47,753.60/65,881.10 = 27,606.77/x
  3. Step 3: Cross multiply
    47,753.60x = 65,881.10 × 27,606.77
  4. Step 4: Simplify right side
    47,753.60x = 1,818,764,577.01
  5. Step 5: Solve for x
    x = 1,818,764,577.01/47,753.60
  6. Step 6: Final answer
    x = 38,086.44

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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.