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Finding the Fourth Proportional to 47,490.88, 71,282.10 and 34,975.78

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Solution

The fourth proportional to 47,490.88, 71,282.10 and 34,975.78 is: 52,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,490.88 : 71,282.10 = 34,975.78 : x
  2. Step 2: Convert to fraction form
    47,490.88/71,282.10 = 34,975.78/x
  3. Step 3: Cross multiply
    47,490.88x = 71,282.10 × 34,975.78
  4. Step 4: Simplify right side
    47,490.88x = 2,493,147,047.54
  5. Step 5: Solve for x
    x = 2,493,147,047.54/47,490.88
  6. Step 6: Final answer
    x = 52,497.39

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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.