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Finding the Fourth Proportional to 91,825.80, 126,767.16 and 71,362.14

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Solution

The fourth proportional to 91,825.80, 126,767.16 and 71,362.14 is: 98,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,825.80 : 126,767.16 = 71,362.14 : x
  2. Step 2: Convert to fraction form
    91,825.80/126,767.16 = 71,362.14/x
  3. Step 3: Cross multiply
    91,825.80x = 126,767.16 × 71,362.14
  4. Step 4: Simplify right side
    91,825.80x = 9,046,375,462.51
  5. Step 5: Solve for x
    x = 9,046,375,462.51/91,825.80
  6. Step 6: Final answer
    x = 98,516.71

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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.