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Finding the Fourth Proportional to 47,732.70, 65,856.30 and 27,582.24

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Solution

The fourth proportional to 47,732.70, 65,856.30 and 27,582.24 is: 38,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,732.70 : 65,856.30 = 27,582.24 : x
  2. Step 2: Convert to fraction form
    47,732.70/65,856.30 = 27,582.24/x
  3. Step 3: Cross multiply
    47,732.70x = 65,856.30 × 27,582.24
  4. Step 4: Simplify right side
    47,732.70x = 1,816,464,272.11
  5. Step 5: Solve for x
    x = 1,816,464,272.11/47,732.70
  6. Step 6: Final answer
    x = 38,054.92

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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.