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Finding the Fourth Proportional to 62,473.20, 93,742.20 and 27,416.40

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Solution

The fourth proportional to 62,473.20, 93,742.20 and 27,416.40 is: 41,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,473.20 : 93,742.20 = 27,416.40 : x
  2. Step 2: Convert to fraction form
    62,473.20/93,742.20 = 27,416.40/x
  3. Step 3: Cross multiply
    62,473.20x = 93,742.20 × 27,416.40
  4. Step 4: Simplify right side
    62,473.20x = 2,570,073,652.08
  5. Step 5: Solve for x
    x = 2,570,073,652.08/62,473.20
  6. Step 6: Final answer
    x = 41,138.82

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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.