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Finding the Fourth Proportional to 73,482.38, 109,724.50 and 71,489.47

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Solution

The fourth proportional to 73,482.38, 109,724.50 and 71,489.47 is: 106,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,482.38 : 109,724.50 = 71,489.47 : x
  2. Step 2: Convert to fraction form
    73,482.38/109,724.50 = 71,489.47/x
  3. Step 3: Cross multiply
    73,482.38x = 109,724.50 × 71,489.47
  4. Step 4: Simplify right side
    73,482.38x = 7,844,146,351.02
  5. Step 5: Solve for x
    x = 7,844,146,351.02/73,482.38
  6. Step 6: Final answer
    x = 106,748.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.