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Finding the Fourth Proportional to 70,878.81, 106,326.42 and 23,498.07

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Solution

The fourth proportional to 70,878.81, 106,326.42 and 23,498.07 is: 35,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.81 : 106,326.42 = 23,498.07 : x
  2. Step 2: Convert to fraction form
    70,878.81/106,326.42 = 23,498.07/x
  3. Step 3: Cross multiply
    70,878.81x = 106,326.42 × 23,498.07
  4. Step 4: Simplify right side
    70,878.81x = 2,498,465,660.01
  5. Step 5: Solve for x
    x = 2,498,465,660.01/70,878.81
  6. Step 6: Final answer
    x = 35,249.83

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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.