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Finding the Fourth Proportional to 29,665.84, 44,514.10 and 13,037.54

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Solution

The fourth proportional to 29,665.84, 44,514.10 and 13,037.54 is: 19,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665.84 : 44,514.10 = 13,037.54 : x
  2. Step 2: Convert to fraction form
    29,665.84/44,514.10 = 13,037.54/x
  3. Step 3: Cross multiply
    29,665.84x = 44,514.10 × 13,037.54
  4. Step 4: Simplify right side
    29,665.84x = 580,354,359.31
  5. Step 5: Solve for x
    x = 580,354,359.31/29,665.84
  6. Step 6: Final answer
    x = 19,563.05

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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.