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Finding the Fourth Proportional to 83,007.70, 124,491.30 and 23,837.20

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Solution

The fourth proportional to 83,007.70, 124,491.30 and 23,837.20 is: 35,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.70 : 124,491.30 = 23,837.20 : x
  2. Step 2: Convert to fraction form
    83,007.70/124,491.30 = 23,837.20/x
  3. Step 3: Cross multiply
    83,007.70x = 124,491.30 × 23,837.20
  4. Step 4: Simplify right side
    83,007.70x = 2,967,524,016.36
  5. Step 5: Solve for x
    x = 2,967,524,016.36/83,007.70
  6. Step 6: Final answer
    x = 35,749.98

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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.