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Finding the Fourth Proportional to 65,148.42, 97,736.99 and 37,081.70

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Solution

The fourth proportional to 65,148.42, 97,736.99 and 37,081.70 is: 55,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.42 : 97,736.99 = 37,081.70 : x
  2. Step 2: Convert to fraction form
    65,148.42/97,736.99 = 37,081.70/x
  3. Step 3: Cross multiply
    65,148.42x = 97,736.99 × 37,081.70
  4. Step 4: Simplify right side
    65,148.42x = 3,624,253,067.99
  5. Step 5: Solve for x
    x = 3,624,253,067.99/65,148.42
  6. Step 6: Final answer
    x = 55,630.71

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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.