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Finding the Fourth Proportional to 86,287.65, 129,378.62 and 33,635.63

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Solution

The fourth proportional to 86,287.65, 129,378.62 and 33,635.63 is: 50,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,287.65 : 129,378.62 = 33,635.63 : x
  2. Step 2: Convert to fraction form
    86,287.65/129,378.62 = 33,635.63/x
  3. Step 3: Cross multiply
    86,287.65x = 129,378.62 × 33,635.63
  4. Step 4: Simplify right side
    86,287.65x = 4,351,730,829.43
  5. Step 5: Solve for x
    x = 4,351,730,829.43/86,287.65
  6. Step 6: Final answer
    x = 50,432.84

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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.