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Finding the Fourth Proportional to 29,836, 41,174.87 and 17,894.98

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Solution

The fourth proportional to 29,836, 41,174.87 and 17,894.98 is: 24,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836 : 41,174.87 = 17,894.98 : x
  2. Step 2: Convert to fraction form
    29,836/41,174.87 = 17,894.98/x
  3. Step 3: Cross multiply
    29,836x = 41,174.87 × 17,894.98
  4. Step 4: Simplify right side
    29,836x = 736,823,475.15
  5. Step 5: Solve for x
    x = 736,823,475.15/29,836
  6. Step 6: Final answer
    x = 24,695.79

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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.