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Finding the Fourth Proportional to 47,687.46, 65,809.71 and 26,466

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Solution

The fourth proportional to 47,687.46, 65,809.71 and 26,466 is: 36,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.46 : 65,809.71 = 26,466 : x
  2. Step 2: Convert to fraction form
    47,687.46/65,809.71 = 26,466/x
  3. Step 3: Cross multiply
    47,687.46x = 65,809.71 × 26,466
  4. Step 4: Simplify right side
    47,687.46x = 1,741,719,784.86
  5. Step 5: Solve for x
    x = 1,741,719,784.86/47,687.46
  6. Step 6: Final answer
    x = 36,523.64

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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.