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Finding the Fourth Proportional to 29,435.68, 44,147.22 and 9,709.48

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Solution

The fourth proportional to 29,435.68, 44,147.22 and 9,709.48 is: 14,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,435.68 : 44,147.22 = 9,709.48 : x
  2. Step 2: Convert to fraction form
    29,435.68/44,147.22 = 9,709.48/x
  3. Step 3: Cross multiply
    29,435.68x = 44,147.22 × 9,709.48
  4. Step 4: Simplify right side
    29,435.68x = 428,646,549.65
  5. Step 5: Solve for x
    x = 428,646,549.65/29,435.68
  6. Step 6: Final answer
    x = 14,562.14

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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.