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Finding the Fourth Proportional to 85,314.38, 117,771.59 and 55,114.42

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Solution

The fourth proportional to 85,314.38, 117,771.59 and 55,114.42 is: 76,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314.38 : 117,771.59 = 55,114.42 : x
  2. Step 2: Convert to fraction form
    85,314.38/117,771.59 = 55,114.42/x
  3. Step 3: Cross multiply
    85,314.38x = 117,771.59 × 55,114.42
  4. Step 4: Simplify right side
    85,314.38x = 6,490,912,875.33
  5. Step 5: Solve for x
    x = 6,490,912,875.33/85,314.38
  6. Step 6: Final answer
    x = 76,082.28

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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.