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Finding the Fourth Proportional to 36,997.50, 51,098.58 and 24,876.90

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Solution

The fourth proportional to 36,997.50, 51,098.58 and 24,876.90 is: 34,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,997.50 : 51,098.58 = 24,876.90 : x
  2. Step 2: Convert to fraction form
    36,997.50/51,098.58 = 24,876.90/x
  3. Step 3: Cross multiply
    36,997.50x = 51,098.58 × 24,876.90
  4. Step 4: Simplify right side
    36,997.50x = 1,271,174,264.80
  5. Step 5: Solve for x
    x = 1,271,174,264.80/36,997.50
  6. Step 6: Final answer
    x = 34,358.38

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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.