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Finding the Fourth Proportional to 70,286.20, 96,995.19 and 38,455

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Solution

The fourth proportional to 70,286.20, 96,995.19 and 38,455 is: 53,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,286.20 : 96,995.19 = 38,455 : x
  2. Step 2: Convert to fraction form
    70,286.20/96,995.19 = 38,455/x
  3. Step 3: Cross multiply
    70,286.20x = 96,995.19 × 38,455
  4. Step 4: Simplify right side
    70,286.20x = 3,729,950,031.45
  5. Step 5: Solve for x
    x = 3,729,950,031.45/70,286.20
  6. Step 6: Final answer
    x = 53,068.03

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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.