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Finding the Fourth Proportional to 47,439, 65,463.26 and 26,217

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Solution

The fourth proportional to 47,439, 65,463.26 and 26,217 is: 36,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,439 : 65,463.26 = 26,217 : x
  2. Step 2: Convert to fraction form
    47,439/65,463.26 = 26,217/x
  3. Step 3: Cross multiply
    47,439x = 65,463.26 × 26,217
  4. Step 4: Simplify right side
    47,439x = 1,716,250,287.42
  5. Step 5: Solve for x
    x = 1,716,250,287.42/47,439
  6. Step 6: Final answer
    x = 36,178.05

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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.