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Finding the Fourth Proportional to 31,340.34, 47,010.62 and 7,966.78

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Solution

The fourth proportional to 31,340.34, 47,010.62 and 7,966.78 is: 11,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.34 : 47,010.62 = 7,966.78 : x
  2. Step 2: Convert to fraction form
    31,340.34/47,010.62 = 7,966.78/x
  3. Step 3: Cross multiply
    31,340.34x = 47,010.62 × 7,966.78
  4. Step 4: Simplify right side
    31,340.34x = 374,523,267.20
  5. Step 5: Solve for x
    x = 374,523,267.20/31,340.34
  6. Step 6: Final answer
    x = 11,950.20

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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.