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Finding the Fourth Proportional to 86,575.80, 129,836.70 and 34,001.40

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Solution

The fourth proportional to 86,575.80, 129,836.70 and 34,001.40 is: 50,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,575.80 : 129,836.70 = 34,001.40 : x
  2. Step 2: Convert to fraction form
    86,575.80/129,836.70 = 34,001.40/x
  3. Step 3: Cross multiply
    86,575.80x = 129,836.70 × 34,001.40
  4. Step 4: Simplify right side
    86,575.80x = 4,414,629,571.38
  5. Step 5: Solve for x
    x = 4,414,629,571.38/86,575.80
  6. Step 6: Final answer
    x = 50,991.50

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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.