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Finding the Fourth Proportional to 34,958.86, 52,394.54 and 27,534

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Solution

The fourth proportional to 34,958.86, 52,394.54 and 27,534 is: 41,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,958.86 : 52,394.54 = 27,534 : x
  2. Step 2: Convert to fraction form
    34,958.86/52,394.54 = 27,534/x
  3. Step 3: Cross multiply
    34,958.86x = 52,394.54 × 27,534
  4. Step 4: Simplify right side
    34,958.86x = 1,442,631,264.36
  5. Step 5: Solve for x
    x = 1,442,631,264.36/34,958.86
  6. Step 6: Final answer
    x = 41,266.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.