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Finding the Fourth Proportional to 29,838.96, 41,178.69 and 16,410.78

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Solution

The fourth proportional to 29,838.96, 41,178.69 and 16,410.78 is: 22,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.96 : 41,178.69 = 16,410.78 : x
  2. Step 2: Convert to fraction form
    29,838.96/41,178.69 = 16,410.78/x
  3. Step 3: Cross multiply
    29,838.96x = 41,178.69 × 16,410.78
  4. Step 4: Simplify right side
    29,838.96x = 675,774,422.28
  5. Step 5: Solve for x
    x = 675,774,422.28/29,838.96
  6. Step 6: Final answer
    x = 22,647.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.