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Finding the Fourth Proportional to 109,014.94, 163,469.13 and 44,961.13

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Solution

The fourth proportional to 109,014.94, 163,469.13 and 44,961.13 is: 67,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,014.94 : 163,469.13 = 44,961.13 : x
  2. Step 2: Convert to fraction form
    109,014.94/163,469.13 = 44,961.13/x
  3. Step 3: Cross multiply
    109,014.94x = 163,469.13 × 44,961.13
  4. Step 4: Simplify right side
    109,014.94x = 7,349,756,804.92
  5. Step 5: Solve for x
    x = 7,349,756,804.92/109,014.94
  6. Step 6: Final answer
    x = 67,419.72

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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.