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Finding the Fourth Proportional to 83,295.79, 124,943.60 and 27,135.83

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Solution

The fourth proportional to 83,295.79, 124,943.60 and 27,135.83 is: 40,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295.79 : 124,943.60 = 27,135.83 : x
  2. Step 2: Convert to fraction form
    83,295.79/124,943.60 = 27,135.83/x
  3. Step 3: Cross multiply
    83,295.79x = 124,943.60 × 27,135.83
  4. Step 4: Simplify right side
    83,295.79x = 3,390,447,813.94
  5. Step 5: Solve for x
    x = 3,390,447,813.94/83,295.79
  6. Step 6: Final answer
    x = 40,703.71

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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.