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Finding the Fourth Proportional to 83,243, 124,876.94 and 30,648.44

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Solution

The fourth proportional to 83,243, 124,876.94 and 30,648.44 is: 45,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,243 : 124,876.94 = 30,648.44 : x
  2. Step 2: Convert to fraction form
    83,243/124,876.94 = 30,648.44/x
  3. Step 3: Cross multiply
    83,243x = 124,876.94 × 30,648.44
  4. Step 4: Simplify right side
    83,243x = 3,827,283,402.97
  5. Step 5: Solve for x
    x = 3,827,283,402.97/83,243
  6. Step 6: Final answer
    x = 45,977.24

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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.