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Finding the Fourth Proportional to 70,282.08, 96,992.16 and 38,453.76

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Solution

The fourth proportional to 70,282.08, 96,992.16 and 38,453.76 is: 53,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.08 : 96,992.16 = 38,453.76 : x
  2. Step 2: Convert to fraction form
    70,282.08/96,992.16 = 38,453.76/x
  3. Step 3: Cross multiply
    70,282.08x = 96,992.16 × 38,453.76
  4. Step 4: Simplify right side
    70,282.08x = 3,729,713,242.52
  5. Step 5: Solve for x
    x = 3,729,713,242.52/70,282.08
  6. Step 6: Final answer
    x = 53,067.77

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