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Finding the Fourth Proportional to 31,404.64, 47,101.92 and 8,029.84

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Solution

The fourth proportional to 31,404.64, 47,101.92 and 8,029.84 is: 12,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404.64 : 47,101.92 = 8,029.84 : x
  2. Step 2: Convert to fraction form
    31,404.64/47,101.92 = 8,029.84/x
  3. Step 3: Cross multiply
    31,404.64x = 47,101.92 × 8,029.84
  4. Step 4: Simplify right side
    31,404.64x = 378,220,881.29
  5. Step 5: Solve for x
    x = 378,220,881.29/31,404.64
  6. Step 6: Final answer
    x = 12,043.47

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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.