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Finding the Fourth Proportional to 31,374.84, 47,062.26 and 8,001.27

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Solution

The fourth proportional to 31,374.84, 47,062.26 and 8,001.27 is: 12,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.84 : 47,062.26 = 8,001.27 : x
  2. Step 2: Convert to fraction form
    31,374.84/47,062.26 = 8,001.27/x
  3. Step 3: Cross multiply
    31,374.84x = 47,062.26 × 8,001.27
  4. Step 4: Simplify right side
    31,374.84x = 376,557,849.07
  5. Step 5: Solve for x
    x = 376,557,849.07/31,374.84
  6. Step 6: Final answer
    x = 12,001.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.