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Finding the Fourth Proportional to 83,093.97, 114,670.05 and 45,369.03

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Solution

The fourth proportional to 83,093.97, 114,670.05 and 45,369.03 is: 62,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,093.97 : 114,670.05 = 45,369.03 : x
  2. Step 2: Convert to fraction form
    83,093.97/114,670.05 = 45,369.03/x
  3. Step 3: Cross multiply
    83,093.97x = 114,670.05 × 45,369.03
  4. Step 4: Simplify right side
    83,093.97x = 5,202,468,938.55
  5. Step 5: Solve for x
    x = 5,202,468,938.55/83,093.97
  6. Step 6: Final answer
    x = 62,609.46

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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.