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Finding the Fourth Proportional to 29,821.96, 44,732.48 and 7,635.16

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Solution

The fourth proportional to 29,821.96, 44,732.48 and 7,635.16 is: 11,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.96 : 44,732.48 = 7,635.16 : x
  2. Step 2: Convert to fraction form
    29,821.96/44,732.48 = 7,635.16/x
  3. Step 3: Cross multiply
    29,821.96x = 44,732.48 × 7,635.16
  4. Step 4: Simplify right side
    29,821.96x = 341,539,642.00
  5. Step 5: Solve for x
    x = 341,539,642.00/29,821.96
  6. Step 6: Final answer
    x = 11,452.62

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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.