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Finding the Fourth Proportional to 29,874.34, 44,818.25 and 9,883.78

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Solution

The fourth proportional to 29,874.34, 44,818.25 and 9,883.78 is: 14,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.34 : 44,818.25 = 9,883.78 : x
  2. Step 2: Convert to fraction form
    29,874.34/44,818.25 = 9,883.78/x
  3. Step 3: Cross multiply
    29,874.34x = 44,818.25 × 9,883.78
  4. Step 4: Simplify right side
    29,874.34x = 442,973,738.22
  5. Step 5: Solve for x
    x = 442,973,738.22/29,874.34
  6. Step 6: Final answer
    x = 14,827.90

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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.