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Finding the Fourth Proportional to 31,957.24, 47,915.82 and 9,763.24

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Solution

The fourth proportional to 31,957.24, 47,915.82 and 9,763.24 is: 14,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.24 : 47,915.82 = 9,763.24 : x
  2. Step 2: Convert to fraction form
    31,957.24/47,915.82 = 9,763.24/x
  3. Step 3: Cross multiply
    31,957.24x = 47,915.82 × 9,763.24
  4. Step 4: Simplify right side
    31,957.24x = 467,813,650.46
  5. Step 5: Solve for x
    x = 467,813,650.46/31,957.24
  6. Step 6: Final answer
    x = 14,638.74

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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.