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Finding the Fourth Proportional to 70,686.30, 106,046.88 and 35,164.47

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Solution

The fourth proportional to 70,686.30, 106,046.88 and 35,164.47 is: 52,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,686.30 : 106,046.88 = 35,164.47 : x
  2. Step 2: Convert to fraction form
    70,686.30/106,046.88 = 35,164.47/x
  3. Step 3: Cross multiply
    70,686.30x = 106,046.88 × 35,164.47
  4. Step 4: Simplify right side
    70,686.30x = 3,729,082,330.35
  5. Step 5: Solve for x
    x = 3,729,082,330.35/70,686.30
  6. Step 6: Final answer
    x = 52,755.38

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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.