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Finding the Fourth Proportional to 82,903.91, 124,364.97 and 23,749.20

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Solution

The fourth proportional to 82,903.91, 124,364.97 and 23,749.20 is: 35,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.91 : 124,364.97 = 23,749.20 : x
  2. Step 2: Convert to fraction form
    82,903.91/124,364.97 = 23,749.20/x
  3. Step 3: Cross multiply
    82,903.91x = 124,364.97 × 23,749.20
  4. Step 4: Simplify right side
    82,903.91x = 2,953,568,545.52
  5. Step 5: Solve for x
    x = 2,953,568,545.52/82,903.91
  6. Step 6: Final answer
    x = 35,626.41

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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.