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Finding the Fourth Proportional to 29,694.83, 44,531.03 and 9,699.63

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Solution

The fourth proportional to 29,694.83, 44,531.03 and 9,699.63 is: 14,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.83 : 44,531.03 = 9,699.63 : x
  2. Step 2: Convert to fraction form
    29,694.83/44,531.03 = 9,699.63/x
  3. Step 3: Cross multiply
    29,694.83x = 44,531.03 × 9,699.63
  4. Step 4: Simplify right side
    29,694.83x = 431,934,466.02
  5. Step 5: Solve for x
    x = 431,934,466.02/29,694.83
  6. Step 6: Final answer
    x = 14,545.78

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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.