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Finding the Fourth Proportional to 47,513.64, 71,265 and 12,456.08

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Solution

The fourth proportional to 47,513.64, 71,265 and 12,456.08 is: 18,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,513.64 : 71,265 = 12,456.08 : x
  2. Step 2: Convert to fraction form
    47,513.64/71,265 = 12,456.08/x
  3. Step 3: Cross multiply
    47,513.64x = 71,265 × 12,456.08
  4. Step 4: Simplify right side
    47,513.64x = 887,682,541.20
  5. Step 5: Solve for x
    x = 887,682,541.20/47,513.64
  6. Step 6: Final answer
    x = 18,682.69

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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.