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Finding the Fourth Proportional to 29,970.62, 41,359.53 and 16,358.78

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Solution

The fourth proportional to 29,970.62, 41,359.53 and 16,358.78 is: 22,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.62 : 41,359.53 = 16,358.78 : x
  2. Step 2: Convert to fraction form
    29,970.62/41,359.53 = 16,358.78/x
  3. Step 3: Cross multiply
    29,970.62x = 41,359.53 × 16,358.78
  4. Step 4: Simplify right side
    29,970.62x = 676,591,245.38
  5. Step 5: Solve for x
    x = 676,591,245.38/29,970.62
  6. Step 6: Final answer
    x = 22,575.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.