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Finding the Fourth Proportional to 98,092.62, 135,372.26 and 57,808.08

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Solution

The fourth proportional to 98,092.62, 135,372.26 and 57,808.08 is: 79,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092.62 : 135,372.26 = 57,808.08 : x
  2. Step 2: Convert to fraction form
    98,092.62/135,372.26 = 57,808.08/x
  3. Step 3: Cross multiply
    98,092.62x = 135,372.26 × 57,808.08
  4. Step 4: Simplify right side
    98,092.62x = 7,825,610,580.38
  5. Step 5: Solve for x
    x = 7,825,610,580.38/98,092.62
  6. Step 6: Final answer
    x = 79,777.77

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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.