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Finding the Fourth Proportional to 47,671.76, 65,790.18 and 27,529.52

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Solution

The fourth proportional to 47,671.76, 65,790.18 and 27,529.52 is: 37,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.76 : 65,790.18 = 27,529.52 : x
  2. Step 2: Convert to fraction form
    47,671.76/65,790.18 = 27,529.52/x
  3. Step 3: Cross multiply
    47,671.76x = 65,790.18 × 27,529.52
  4. Step 4: Simplify right side
    47,671.76x = 1,811,172,076.11
  5. Step 5: Solve for x
    x = 1,811,172,076.11/47,671.76
  6. Step 6: Final answer
    x = 37,992.56

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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.