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Finding the Fourth Proportional to 47,954.68, 71,881.85 and 16,353.68

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Solution

The fourth proportional to 47,954.68, 71,881.85 and 16,353.68 is: 24,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.68 : 71,881.85 = 16,353.68 : x
  2. Step 2: Convert to fraction form
    47,954.68/71,881.85 = 16,353.68/x
  3. Step 3: Cross multiply
    47,954.68x = 71,881.85 × 16,353.68
  4. Step 4: Simplify right side
    47,954.68x = 1,175,532,454.18
  5. Step 5: Solve for x
    x = 1,175,532,454.18/47,954.68
  6. Step 6: Final answer
    x = 24,513.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.