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Finding the Fourth Proportional to 109,006, 163,420.74 and 34,087.56

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Solution

The fourth proportional to 109,006, 163,420.74 and 34,087.56 is: 51,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,006 : 163,420.74 = 34,087.56 : x
  2. Step 2: Convert to fraction form
    109,006/163,420.74 = 34,087.56/x
  3. Step 3: Cross multiply
    109,006x = 163,420.74 × 34,087.56
  4. Step 4: Simplify right side
    109,006x = 5,570,614,279.99
  5. Step 5: Solve for x
    x = 5,570,614,279.99/109,006
  6. Step 6: Final answer
    x = 51,103.74

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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.