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Finding the Fourth Proportional to 96,855.88, 145,283.84 and 41,413

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Solution

The fourth proportional to 96,855.88, 145,283.84 and 41,413 is: 62,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,855.88 : 145,283.84 = 41,413 : x
  2. Step 2: Convert to fraction form
    96,855.88/145,283.84 = 41,413/x
  3. Step 3: Cross multiply
    96,855.88x = 145,283.84 × 41,413
  4. Step 4: Simplify right side
    96,855.88x = 6,016,639,665.92
  5. Step 5: Solve for x
    x = 6,016,639,665.92/96,855.88
  6. Step 6: Final answer
    x = 62,119.51

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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.