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Finding the Fourth Proportional to 31,378.97, 47,067.01 and 10,602.65

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Solution

The fourth proportional to 31,378.97, 47,067.01 and 10,602.65 is: 15,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.97 : 47,067.01 = 10,602.65 : x
  2. Step 2: Convert to fraction form
    31,378.97/47,067.01 = 10,602.65/x
  3. Step 3: Cross multiply
    31,378.97x = 47,067.01 × 10,602.65
  4. Step 4: Simplify right side
    31,378.97x = 499,035,033.58
  5. Step 5: Solve for x
    x = 499,035,033.58/31,378.97
  6. Step 6: Final answer
    x = 15,903.49

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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.