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Finding the Fourth Proportional to 27,235.32, 40,851.92 and 7,513.34

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Solution

The fourth proportional to 27,235.32, 40,851.92 and 7,513.34 is: 11,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,235.32 : 40,851.92 = 7,513.34 : x
  2. Step 2: Convert to fraction form
    27,235.32/40,851.92 = 7,513.34/x
  3. Step 3: Cross multiply
    27,235.32x = 40,851.92 × 7,513.34
  4. Step 4: Simplify right side
    27,235.32x = 306,934,122.79
  5. Step 5: Solve for x
    x = 306,934,122.79/27,235.32
  6. Step 6: Final answer
    x = 11,269.71

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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.