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Finding the Fourth Proportional to 109,499.96, 164,279.14 and 34,621.51

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Solution

The fourth proportional to 109,499.96, 164,279.14 and 34,621.51 is: 51,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,499.96 : 164,279.14 = 34,621.51 : x
  2. Step 2: Convert to fraction form
    109,499.96/164,279.14 = 34,621.51/x
  3. Step 3: Cross multiply
    109,499.96x = 164,279.14 × 34,621.51
  4. Step 4: Simplify right side
    109,499.96x = 5,687,591,715.19
  5. Step 5: Solve for x
    x = 5,687,591,715.19/109,499.96
  6. Step 6: Final answer
    x = 51,941.50

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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.