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Finding the Fourth Proportional to 31,915.37, 47,872.98 and 9,728.93

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Solution

The fourth proportional to 31,915.37, 47,872.98 and 9,728.93 is: 14,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.37 : 47,872.98 = 9,728.93 : x
  2. Step 2: Convert to fraction form
    31,915.37/47,872.98 = 9,728.93/x
  3. Step 3: Cross multiply
    31,915.37x = 47,872.98 × 9,728.93
  4. Step 4: Simplify right side
    31,915.37x = 465,752,631.95
  5. Step 5: Solve for x
    x = 465,752,631.95/31,915.37
  6. Step 6: Final answer
    x = 14,593.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.