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Finding the Fourth Proportional to 70,098.82, 96,724.96 and 41,414.49

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Solution

The fourth proportional to 70,098.82, 96,724.96 and 41,414.49 is: 57,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.82 : 96,724.96 = 41,414.49 : x
  2. Step 2: Convert to fraction form
    70,098.82/96,724.96 = 41,414.49/x
  3. Step 3: Cross multiply
    70,098.82x = 96,724.96 × 41,414.49
  4. Step 4: Simplify right side
    70,098.82x = 4,005,814,888.67
  5. Step 5: Solve for x
    x = 4,005,814,888.67/70,098.82
  6. Step 6: Final answer
    x = 57,145.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.