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Finding the Fourth Proportional to 31,508.70, 47,246.85 and 11,777.10

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Solution

The fourth proportional to 31,508.70, 47,246.85 and 11,777.10 is: 17,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.70 : 47,246.85 = 11,777.10 : x
  2. Step 2: Convert to fraction form
    31,508.70/47,246.85 = 11,777.10/x
  3. Step 3: Cross multiply
    31,508.70x = 47,246.85 × 11,777.10
  4. Step 4: Simplify right side
    31,508.70x = 556,430,877.14
  5. Step 5: Solve for x
    x = 556,430,877.14/31,508.70
  6. Step 6: Final answer
    x = 17,659.59

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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.