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Finding the Fourth Proportional to 83,347.93, 125,053.23 and 49,633.42

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Solution

The fourth proportional to 83,347.93, 125,053.23 and 49,633.42 is: 74,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,347.93 : 125,053.23 = 49,633.42 : x
  2. Step 2: Convert to fraction form
    83,347.93/125,053.23 = 49,633.42/x
  3. Step 3: Cross multiply
    83,347.93x = 125,053.23 × 49,633.42
  4. Step 4: Simplify right side
    83,347.93x = 6,206,819,486.95
  5. Step 5: Solve for x
    x = 6,206,819,486.95/83,347.93
  6. Step 6: Final answer
    x = 74,468.79

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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.