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Finding the Fourth Proportional to 34,649.46, 51,974.04 and 8,354.13

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Solution

The fourth proportional to 34,649.46, 51,974.04 and 8,354.13 is: 12,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.46 : 51,974.04 = 8,354.13 : x
  2. Step 2: Convert to fraction form
    34,649.46/51,974.04 = 8,354.13/x
  3. Step 3: Cross multiply
    34,649.46x = 51,974.04 × 8,354.13
  4. Step 4: Simplify right side
    34,649.46x = 434,197,886.79
  5. Step 5: Solve for x
    x = 434,197,886.79/34,649.46
  6. Step 6: Final answer
    x = 12,531.16

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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.