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Finding the Fourth Proportional to 84,647.61, 127,013.01 and 34,044.61

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Solution

The fourth proportional to 84,647.61, 127,013.01 and 34,044.61 is: 51,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,647.61 : 127,013.01 = 34,044.61 : x
  2. Step 2: Convert to fraction form
    84,647.61/127,013.01 = 34,044.61/x
  3. Step 3: Cross multiply
    84,647.61x = 127,013.01 × 34,044.61
  4. Step 4: Simplify right side
    84,647.61x = 4,324,108,390.38
  5. Step 5: Solve for x
    x = 4,324,108,390.38/84,647.61
  6. Step 6: Final answer
    x = 51,083.64

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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.