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Finding the Fourth Proportional to 31,449.87, 47,177.64 and 8,076.51

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Solution

The fourth proportional to 31,449.87, 47,177.64 and 8,076.51 is: 12,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449.87 : 47,177.64 = 8,076.51 : x
  2. Step 2: Convert to fraction form
    31,449.87/47,177.64 = 8,076.51/x
  3. Step 3: Cross multiply
    31,449.87x = 47,177.64 × 8,076.51
  4. Step 4: Simplify right side
    31,449.87x = 381,030,681.24
  5. Step 5: Solve for x
    x = 381,030,681.24/31,449.87
  6. Step 6: Final answer
    x = 12,115.49

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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.