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Finding the Fourth Proportional to 87,142.50, 130,735.62 and 24,813

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Solution

The fourth proportional to 87,142.50, 130,735.62 and 24,813 is: 37,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,142.50 : 130,735.62 = 24,813 : x
  2. Step 2: Convert to fraction form
    87,142.50/130,735.62 = 24,813/x
  3. Step 3: Cross multiply
    87,142.50x = 130,735.62 × 24,813
  4. Step 4: Simplify right side
    87,142.50x = 3,243,942,939.06
  5. Step 5: Solve for x
    x = 3,243,942,939.06/87,142.50
  6. Step 6: Final answer
    x = 37,225.73

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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.