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Finding the Fourth Proportional to 31,915.68, 47,881.28 and 9,729.47

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Solution

The fourth proportional to 31,915.68, 47,881.28 and 9,729.47 is: 14,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.68 : 47,881.28 = 9,729.47 : x
  2. Step 2: Convert to fraction form
    31,915.68/47,881.28 = 9,729.47/x
  3. Step 3: Cross multiply
    31,915.68x = 47,881.28 × 9,729.47
  4. Step 4: Simplify right side
    31,915.68x = 465,859,477.32
  5. Step 5: Solve for x
    x = 465,859,477.32/31,915.68
  6. Step 6: Final answer
    x = 14,596.57

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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.