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Finding the Fourth Proportional to 60,142.50, 82,996.65 and 34,992

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Solution

The fourth proportional to 60,142.50, 82,996.65 and 34,992 is: 48,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,142.50 : 82,996.65 = 34,992 : x
  2. Step 2: Convert to fraction form
    60,142.50/82,996.65 = 34,992/x
  3. Step 3: Cross multiply
    60,142.50x = 82,996.65 × 34,992
  4. Step 4: Simplify right side
    60,142.50x = 2,904,218,776.80
  5. Step 5: Solve for x
    x = 2,904,218,776.80/60,142.50
  6. Step 6: Final answer
    x = 48,288.96

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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.