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Finding the Fourth Proportional to 29,767.46, 41,079.56 and 16,339.95

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Solution

The fourth proportional to 29,767.46, 41,079.56 and 16,339.95 is: 22,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.46 : 41,079.56 = 16,339.95 : x
  2. Step 2: Convert to fraction form
    29,767.46/41,079.56 = 16,339.95/x
  3. Step 3: Cross multiply
    29,767.46x = 41,079.56 × 16,339.95
  4. Step 4: Simplify right side
    29,767.46x = 671,237,874.72
  5. Step 5: Solve for x
    x = 671,237,874.72/29,767.46
  6. Step 6: Final answer
    x = 22,549.39

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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.