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Finding the Fourth Proportional to 31,974.94, 47,955.12 and 8,603.20

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Solution

The fourth proportional to 31,974.94, 47,955.12 and 8,603.20 is: 12,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.94 : 47,955.12 = 8,603.20 : x
  2. Step 2: Convert to fraction form
    31,974.94/47,955.12 = 8,603.20/x
  3. Step 3: Cross multiply
    31,974.94x = 47,955.12 × 8,603.20
  4. Step 4: Simplify right side
    31,974.94x = 412,567,488.38
  5. Step 5: Solve for x
    x = 412,567,488.38/31,974.94
  6. Step 6: Final answer
    x = 12,902.84

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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.