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Finding the Fourth Proportional to 70,881.12, 106,326.36 and 23,496

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Solution

The fourth proportional to 70,881.12, 106,326.36 and 23,496 is: 35,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,881.12 : 106,326.36 = 23,496 : x
  2. Step 2: Convert to fraction form
    70,881.12/106,326.36 = 23,496/x
  3. Step 3: Cross multiply
    70,881.12x = 106,326.36 × 23,496
  4. Step 4: Simplify right side
    70,881.12x = 2,498,244,154.56
  5. Step 5: Solve for x
    x = 2,498,244,154.56/70,881.12
  6. Step 6: Final answer
    x = 35,245.55

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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.