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Finding the Fourth Proportional to 82,838.78, 124,277.64 and 23,672.91

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Solution

The fourth proportional to 82,838.78, 124,277.64 and 23,672.91 is: 35,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.78 : 124,277.64 = 23,672.91 : x
  2. Step 2: Convert to fraction form
    82,838.78/124,277.64 = 23,672.91/x
  3. Step 3: Cross multiply
    82,838.78x = 124,277.64 × 23,672.91
  4. Step 4: Simplify right side
    82,838.78x = 2,942,013,198.10
  5. Step 5: Solve for x
    x = 2,942,013,198.10/82,838.78
  6. Step 6: Final answer
    x = 35,514.93

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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.