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Finding the Fourth Proportional to 47,509.12, 71,264.22 and 12,452.32

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Solution

The fourth proportional to 47,509.12, 71,264.22 and 12,452.32 is: 18,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.12 : 71,264.22 = 12,452.32 : x
  2. Step 2: Convert to fraction form
    47,509.12/71,264.22 = 12,452.32/x
  3. Step 3: Cross multiply
    47,509.12x = 71,264.22 × 12,452.32
  4. Step 4: Simplify right side
    47,509.12x = 887,404,871.99
  5. Step 5: Solve for x
    x = 887,404,871.99/47,509.12
  6. Step 6: Final answer
    x = 18,678.62

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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.