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Finding the Fourth Proportional to 47,475.40, 71,217.17 and 12,415

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Solution

The fourth proportional to 47,475.40, 71,217.17 and 12,415 is: 18,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,475.40 : 71,217.17 = 12,415 : x
  2. Step 2: Convert to fraction form
    47,475.40/71,217.17 = 12,415/x
  3. Step 3: Cross multiply
    47,475.40x = 71,217.17 × 12,415
  4. Step 4: Simplify right side
    47,475.40x = 884,161,165.55
  5. Step 5: Solve for x
    x = 884,161,165.55/47,475.40
  6. Step 6: Final answer
    x = 18,623.56

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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.