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Finding the Fourth Proportional to 29,874.96, 44,816.40 and 15,842.16

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Solution

The fourth proportional to 29,874.96, 44,816.40 and 15,842.16 is: 23,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.96 : 44,816.40 = 15,842.16 : x
  2. Step 2: Convert to fraction form
    29,874.96/44,816.40 = 15,842.16/x
  3. Step 3: Cross multiply
    29,874.96x = 44,816.40 × 15,842.16
  4. Step 4: Simplify right side
    29,874.96x = 709,988,579.42
  5. Step 5: Solve for x
    x = 709,988,579.42/29,874.96
  6. Step 6: Final answer
    x = 23,765.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.