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Finding the Fourth Proportional to 47,473.32, 65,514.78 and 26,251.32

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Solution

The fourth proportional to 47,473.32, 65,514.78 and 26,251.32 is: 36,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,473.32 : 65,514.78 = 26,251.32 : x
  2. Step 2: Convert to fraction form
    47,473.32/65,514.78 = 26,251.32/x
  3. Step 3: Cross multiply
    47,473.32x = 65,514.78 × 26,251.32
  4. Step 4: Simplify right side
    47,473.32x = 1,719,849,454.51
  5. Step 5: Solve for x
    x = 1,719,849,454.51/47,473.32
  6. Step 6: Final answer
    x = 36,227.71

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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.