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Finding the Fourth Proportional to 100,835.84, 151,347.27 and 50,950.97

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Solution

The fourth proportional to 100,835.84, 151,347.27 and 50,950.97 is: 76,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,835.84 : 151,347.27 = 50,950.97 : x
  2. Step 2: Convert to fraction form
    100,835.84/151,347.27 = 50,950.97/x
  3. Step 3: Cross multiply
    100,835.84x = 151,347.27 × 50,950.97
  4. Step 4: Simplify right side
    100,835.84x = 7,711,290,213.35
  5. Step 5: Solve for x
    x = 7,711,290,213.35/100,835.84
  6. Step 6: Final answer
    x = 76,473.70

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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.