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Finding the Fourth Proportional to 86,314.53, 129,419.95 and 33,748.77

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Solution

The fourth proportional to 86,314.53, 129,419.95 and 33,748.77 is: 50,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314.53 : 129,419.95 = 33,748.77 : x
  2. Step 2: Convert to fraction form
    86,314.53/129,419.95 = 33,748.77/x
  3. Step 3: Cross multiply
    86,314.53x = 129,419.95 × 33,748.77
  4. Step 4: Simplify right side
    86,314.53x = 4,367,764,125.96
  5. Step 5: Solve for x
    x = 4,367,764,125.96/86,314.53
  6. Step 6: Final answer
    x = 50,602.88

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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.