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Finding the Fourth Proportional to 47,508.40, 71,264.90 and 12,448.09

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Solution

The fourth proportional to 47,508.40, 71,264.90 and 12,448.09 is: 18,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,508.40 : 71,264.90 = 12,448.09 : x
  2. Step 2: Convert to fraction form
    47,508.40/71,264.90 = 12,448.09/x
  3. Step 3: Cross multiply
    47,508.40x = 71,264.90 × 12,448.09
  4. Step 4: Simplify right side
    47,508.40x = 887,111,889.04
  5. Step 5: Solve for x
    x = 887,111,889.04/47,508.40
  6. Step 6: Final answer
    x = 18,672.74

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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.