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Finding the Fourth Proportional to 58,540, 87,699.84 and 28,923.20

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Solution

The fourth proportional to 58,540, 87,699.84 and 28,923.20 is: 43,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,540 : 87,699.84 = 28,923.20 : x
  2. Step 2: Convert to fraction form
    58,540/87,699.84 = 28,923.20/x
  3. Step 3: Cross multiply
    58,540x = 87,699.84 × 28,923.20
  4. Step 4: Simplify right side
    58,540x = 2,536,560,012.29
  5. Step 5: Solve for x
    x = 2,536,560,012.29/58,540
  6. Step 6: Final answer
    x = 43,330.37

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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.