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Finding the Fourth Proportional to 29,193.14, 43,795.86 and 9,470.16

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Solution

The fourth proportional to 29,193.14, 43,795.86 and 9,470.16 is: 14,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193.14 : 43,795.86 = 9,470.16 : x
  2. Step 2: Convert to fraction form
    29,193.14/43,795.86 = 9,470.16/x
  3. Step 3: Cross multiply
    29,193.14x = 43,795.86 × 9,470.16
  4. Step 4: Simplify right side
    29,193.14x = 414,753,801.54
  5. Step 5: Solve for x
    x = 414,753,801.54/29,193.14
  6. Step 6: Final answer
    x = 14,207.24

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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.