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Finding the Fourth Proportional to 31,456.84, 47,182.02 and 10,396.12

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Solution

The fourth proportional to 31,456.84, 47,182.02 and 10,396.12 is: 15,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.84 : 47,182.02 = 10,396.12 : x
  2. Step 2: Convert to fraction form
    31,456.84/47,182.02 = 10,396.12/x
  3. Step 3: Cross multiply
    31,456.84x = 47,182.02 × 10,396.12
  4. Step 4: Simplify right side
    31,456.84x = 490,509,941.76
  5. Step 5: Solve for x
    x = 490,509,941.76/31,456.84
  6. Step 6: Final answer
    x = 15,593.11

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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.