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Finding the Fourth Proportional to 29,197.72, 43,795.97 and 9,476.25

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Solution

The fourth proportional to 29,197.72, 43,795.97 and 9,476.25 is: 14,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,197.72 : 43,795.97 = 9,476.25 : x
  2. Step 2: Convert to fraction form
    29,197.72/43,795.97 = 9,476.25/x
  3. Step 3: Cross multiply
    29,197.72x = 43,795.97 × 9,476.25
  4. Step 4: Simplify right side
    29,197.72x = 415,021,560.71
  5. Step 5: Solve for x
    x = 415,021,560.71/29,197.72
  6. Step 6: Final answer
    x = 14,214.18

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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.