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Finding the Fourth Proportional to 71,476.16, 107,017.24 and 47,819.56

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Solution

The fourth proportional to 71,476.16, 107,017.24 and 47,819.56 is: 71,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,476.16 : 107,017.24 = 47,819.56 : x
  2. Step 2: Convert to fraction form
    71,476.16/107,017.24 = 47,819.56/x
  3. Step 3: Cross multiply
    71,476.16x = 107,017.24 × 47,819.56
  4. Step 4: Simplify right side
    71,476.16x = 5,117,517,329.21
  5. Step 5: Solve for x
    x = 5,117,517,329.21/71,476.16
  6. Step 6: Final answer
    x = 71,597.54

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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.