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Finding the Fourth Proportional to 86,034.72, 129,052.08 and 33,456.50

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Solution

The fourth proportional to 86,034.72, 129,052.08 and 33,456.50 is: 50,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,034.72 : 129,052.08 = 33,456.50 : x
  2. Step 2: Convert to fraction form
    86,034.72/129,052.08 = 33,456.50/x
  3. Step 3: Cross multiply
    86,034.72x = 129,052.08 × 33,456.50
  4. Step 4: Simplify right side
    86,034.72x = 4,317,630,914.52
  5. Step 5: Solve for x
    x = 4,317,630,914.52/86,034.72
  6. Step 6: Final answer
    x = 50,184.75

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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.