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Finding the Fourth Proportional to 29,078.49, 43,621.92 and 9,350.49

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Solution

The fourth proportional to 29,078.49, 43,621.92 and 9,350.49 is: 14,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,078.49 : 43,621.92 = 9,350.49 : x
  2. Step 2: Convert to fraction form
    29,078.49/43,621.92 = 9,350.49/x
  3. Step 3: Cross multiply
    29,078.49x = 43,621.92 × 9,350.49
  4. Step 4: Simplify right side
    29,078.49x = 407,886,326.74
  5. Step 5: Solve for x
    x = 407,886,326.74/29,078.49
  6. Step 6: Final answer
    x = 14,027.08

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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.