Home / 31,974.64-47,960.22-9,788.02

Finding the Fourth Proportional to 31,974.64, 47,960.22 and 9,788.02

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Solution

The fourth proportional to 31,974.64, 47,960.22 and 9,788.02 is: 14,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.64 : 47,960.22 = 9,788.02 : x
  2. Step 2: Convert to fraction form
    31,974.64/47,960.22 = 9,788.02/x
  3. Step 3: Cross multiply
    31,974.64x = 47,960.22 × 9,788.02
  4. Step 4: Simplify right side
    31,974.64x = 469,435,592.56
  5. Step 5: Solve for x
    x = 469,435,592.56/31,974.64
  6. Step 6: Final answer
    x = 14,681.50

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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.