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Finding the Fourth Proportional to 29,199.97, 43,799.34 and 9,478.50

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Solution

The fourth proportional to 29,199.97, 43,799.34 and 9,478.50 is: 14,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199.97 : 43,799.34 = 9,478.50 : x
  2. Step 2: Convert to fraction form
    29,199.97/43,799.34 = 9,478.50/x
  3. Step 3: Cross multiply
    29,199.97x = 43,799.34 × 9,478.50
  4. Step 4: Simplify right side
    29,199.97x = 415,152,044.19
  5. Step 5: Solve for x
    x = 415,152,044.19/29,199.97
  6. Step 6: Final answer
    x = 14,217.55

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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.