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Finding the Fourth Proportional to 70,283.68, 96,992.57 and 38,453.11

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Solution

The fourth proportional to 70,283.68, 96,992.57 and 38,453.11 is: 53,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,283.68 : 96,992.57 = 38,453.11 : x
  2. Step 2: Convert to fraction form
    70,283.68/96,992.57 = 38,453.11/x
  3. Step 3: Cross multiply
    70,283.68x = 96,992.57 × 38,453.11
  4. Step 4: Simplify right side
    70,283.68x = 3,729,665,963.39
  5. Step 5: Solve for x
    x = 3,729,665,963.39/70,283.68
  6. Step 6: Final answer
    x = 53,065.89

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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.