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Finding the Fourth Proportional to 36,010.96, 49,692 and 23,264.72

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Solution

The fourth proportional to 36,010.96, 49,692 and 23,264.72 is: 32,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,010.96 : 49,692 = 23,264.72 : x
  2. Step 2: Convert to fraction form
    36,010.96/49,692 = 23,264.72/x
  3. Step 3: Cross multiply
    36,010.96x = 49,692 × 23,264.72
  4. Step 4: Simplify right side
    36,010.96x = 1,156,070,466.24
  5. Step 5: Solve for x
    x = 1,156,070,466.24/36,010.96
  6. Step 6: Final answer
    x = 32,103.29

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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.