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Finding the Fourth Proportional to 36,264.22, 54,402 and 11,299.24

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Solution

The fourth proportional to 36,264.22, 54,402 and 11,299.24 is: 16,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,264.22 : 54,402 = 11,299.24 : x
  2. Step 2: Convert to fraction form
    36,264.22/54,402 = 11,299.24/x
  3. Step 3: Cross multiply
    36,264.22x = 54,402 × 11,299.24
  4. Step 4: Simplify right side
    36,264.22x = 614,701,254.48
  5. Step 5: Solve for x
    x = 614,701,254.48/36,264.22
  6. Step 6: Final answer
    x = 16,950.63

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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.