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Finding the Fourth Proportional to 70,082, 96,713.16 and 44,965.52

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Solution

The fourth proportional to 70,082, 96,713.16 and 44,965.52 is: 62,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,082 : 96,713.16 = 44,965.52 : x
  2. Step 2: Convert to fraction form
    70,082/96,713.16 = 44,965.52/x
  3. Step 3: Cross multiply
    70,082x = 96,713.16 × 44,965.52
  4. Step 4: Simplify right side
    70,082x = 4,348,757,530.24
  5. Step 5: Solve for x
    x = 4,348,757,530.24/70,082
  6. Step 6: Final answer
    x = 62,052.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.