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Finding the Fourth Proportional to 47,474.46, 65,514.66 and 27,324

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Solution

The fourth proportional to 47,474.46, 65,514.66 and 27,324 is: 37,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.46 : 65,514.66 = 27,324 : x
  2. Step 2: Convert to fraction form
    47,474.46/65,514.66 = 27,324/x
  3. Step 3: Cross multiply
    47,474.46x = 65,514.66 × 27,324
  4. Step 4: Simplify right side
    47,474.46x = 1,790,122,569.84
  5. Step 5: Solve for x
    x = 1,790,122,569.84/47,474.46
  6. Step 6: Final answer
    x = 37,707.07

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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.