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Finding the Fourth Proportional to 29,049.12, 43,578 and 9,328.32

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Solution

The fourth proportional to 29,049.12, 43,578 and 9,328.32 is: 13,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,049.12 : 43,578 = 9,328.32 : x
  2. Step 2: Convert to fraction form
    29,049.12/43,578 = 9,328.32/x
  3. Step 3: Cross multiply
    29,049.12x = 43,578 × 9,328.32
  4. Step 4: Simplify right side
    29,049.12x = 406,509,528.96
  5. Step 5: Solve for x
    x = 406,509,528.96/29,049.12
  6. Step 6: Final answer
    x = 13,993.87

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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.