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Finding the Fourth Proportional to 29,877.76, 41,229.74 and 16,446.39

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Solution

The fourth proportional to 29,877.76, 41,229.74 and 16,446.39 is: 22,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.76 : 41,229.74 = 16,446.39 : x
  2. Step 2: Convert to fraction form
    29,877.76/41,229.74 = 16,446.39/x
  3. Step 3: Cross multiply
    29,877.76x = 41,229.74 × 16,446.39
  4. Step 4: Simplify right side
    29,877.76x = 678,080,375.19
  5. Step 5: Solve for x
    x = 678,080,375.19/29,877.76
  6. Step 6: Final answer
    x = 22,695.16

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1.5x scale

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.