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Finding the Fourth Proportional to 47,424.16, 71,140.34 and 12,363.82

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Solution

The fourth proportional to 47,424.16, 71,140.34 and 12,363.82 is: 18,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424.16 : 71,140.34 = 12,363.82 : x
  2. Step 2: Convert to fraction form
    47,424.16/71,140.34 = 12,363.82/x
  3. Step 3: Cross multiply
    47,424.16x = 71,140.34 × 12,363.82
  4. Step 4: Simplify right side
    47,424.16x = 879,566,358.50
  5. Step 5: Solve for x
    x = 879,566,358.50/47,424.16
  6. Step 6: Final answer
    x = 18,546.80

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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.