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Finding the Fourth Proportional to 83,556.84, 125,306.02 and 50,282.84

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Solution

The fourth proportional to 83,556.84, 125,306.02 and 50,282.84 is: 75,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,556.84 : 125,306.02 = 50,282.84 : x
  2. Step 2: Convert to fraction form
    83,556.84/125,306.02 = 50,282.84/x
  3. Step 3: Cross multiply
    83,556.84x = 125,306.02 × 50,282.84
  4. Step 4: Simplify right side
    83,556.84x = 6,300,742,554.70
  5. Step 5: Solve for x
    x = 6,300,742,554.70/83,556.84
  6. Step 6: Final answer
    x = 75,406.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.