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Finding the Fourth Proportional to 87,175.98, 130,814.42 and 36,570.48

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Solution

The fourth proportional to 87,175.98, 130,814.42 and 36,570.48 is: 54,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,175.98 : 130,814.42 = 36,570.48 : x
  2. Step 2: Convert to fraction form
    87,175.98/130,814.42 = 36,570.48/x
  3. Step 3: Cross multiply
    87,175.98x = 130,814.42 × 36,570.48
  4. Step 4: Simplify right side
    87,175.98x = 4,783,946,130.32
  5. Step 5: Solve for x
    x = 4,783,946,130.32/87,175.98
  6. Step 6: Final answer
    x = 54,876.88

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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.