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Finding the Fourth Proportional to 70,202.84, 96,849.09 and 41,892.14

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Solution

The fourth proportional to 70,202.84, 96,849.09 and 41,892.14 is: 57,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,202.84 : 96,849.09 = 41,892.14 : x
  2. Step 2: Convert to fraction form
    70,202.84/96,849.09 = 41,892.14/x
  3. Step 3: Cross multiply
    70,202.84x = 96,849.09 × 41,892.14
  4. Step 4: Simplify right side
    70,202.84x = 4,057,215,637.15
  5. Step 5: Solve for x
    x = 4,057,215,637.15/70,202.84
  6. Step 6: Final answer
    x = 57,792.76

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1.5x scale

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.