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Finding the Fourth Proportional to 109,489.66, 164,220.36 and 34,617.40

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Solution

The fourth proportional to 109,489.66, 164,220.36 and 34,617.40 is: 51,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,489.66 : 164,220.36 = 34,617.40 : x
  2. Step 2: Convert to fraction form
    109,489.66/164,220.36 = 34,617.40/x
  3. Step 3: Cross multiply
    109,489.66x = 164,220.36 × 34,617.40
  4. Step 4: Simplify right side
    109,489.66x = 5,684,881,890.26
  5. Step 5: Solve for x
    x = 5,684,881,890.26/109,489.66
  6. Step 6: Final answer
    x = 51,921.63

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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.