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Finding the Fourth Proportional to 51,067.84, 70,469.92 and 31,956.16

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Solution

The fourth proportional to 51,067.84, 70,469.92 and 31,956.16 is: 44,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,067.84 : 70,469.92 = 31,956.16 : x
  2. Step 2: Convert to fraction form
    51,067.84/70,469.92 = 31,956.16/x
  3. Step 3: Cross multiply
    51,067.84x = 70,469.92 × 31,956.16
  4. Step 4: Simplify right side
    51,067.84x = 2,251,948,038.71
  5. Step 5: Solve for x
    x = 2,251,948,038.71/51,067.84
  6. Step 6: Final answer
    x = 44,097.19

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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.