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Finding the Fourth Proportional to 31,968.34, 47,950.74 and 9,781.72

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Solution

The fourth proportional to 31,968.34, 47,950.74 and 9,781.72 is: 14,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.34 : 47,950.74 = 9,781.72 : x
  2. Step 2: Convert to fraction form
    31,968.34/47,950.74 = 9,781.72/x
  3. Step 3: Cross multiply
    31,968.34x = 47,950.74 × 9,781.72
  4. Step 4: Simplify right side
    31,968.34x = 469,040,592.60
  5. Step 5: Solve for x
    x = 469,040,592.60/31,968.34
  6. Step 6: Final answer
    x = 14,672.04

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1.5x scale

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.