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Finding the Fourth Proportional to 82,863.99, 124,312.23 and 32,934.78

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Solution

The fourth proportional to 82,863.99, 124,312.23 and 32,934.78 is: 49,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.99 : 124,312.23 = 32,934.78 : x
  2. Step 2: Convert to fraction form
    82,863.99/124,312.23 = 32,934.78/x
  3. Step 3: Cross multiply
    82,863.99x = 124,312.23 × 32,934.78
  4. Step 4: Simplify right side
    82,863.99x = 4,094,195,946.36
  5. Step 5: Solve for x
    x = 4,094,195,946.36/82,863.99
  6. Step 6: Final answer
    x = 49,408.63

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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.