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Finding the Fourth Proportional to 70,282.88, 105,435.27 and 22,886.78

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Solution

The fourth proportional to 70,282.88, 105,435.27 and 22,886.78 is: 34,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.88 : 105,435.27 = 22,886.78 : x
  2. Step 2: Convert to fraction form
    70,282.88/105,435.27 = 22,886.78/x
  3. Step 3: Cross multiply
    70,282.88x = 105,435.27 × 22,886.78
  4. Step 4: Simplify right side
    70,282.88x = 2,413,073,301.55
  5. Step 5: Solve for x
    x = 2,413,073,301.55/70,282.88
  6. Step 6: Final answer
    x = 34,333.73

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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.