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Finding the Fourth Proportional to 52,678.84, 79,020.70 and 29,287.66

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Solution

The fourth proportional to 52,678.84, 79,020.70 and 29,287.66 is: 43,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,678.84 : 79,020.70 = 29,287.66 : x
  2. Step 2: Convert to fraction form
    52,678.84/79,020.70 = 29,287.66/x
  3. Step 3: Cross multiply
    52,678.84x = 79,020.70 × 29,287.66
  4. Step 4: Simplify right side
    52,678.84x = 2,314,331,394.56
  5. Step 5: Solve for x
    x = 2,314,331,394.56/52,678.84
  6. Step 6: Final answer
    x = 43,932.85

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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.