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Finding the Fourth Proportional to 31,460.48, 47,191.10 and 8,086.28

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Solution

The fourth proportional to 31,460.48, 47,191.10 and 8,086.28 is: 12,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.48 : 47,191.10 = 8,086.28 : x
  2. Step 2: Convert to fraction form
    31,460.48/47,191.10 = 8,086.28/x
  3. Step 3: Cross multiply
    31,460.48x = 47,191.10 × 8,086.28
  4. Step 4: Simplify right side
    31,460.48x = 381,600,448.11
  5. Step 5: Solve for x
    x = 381,600,448.11/31,460.48
  6. Step 6: Final answer
    x = 12,129.52

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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.