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Finding the Fourth Proportional to 109,410.70, 164,116.05 and 35,538.70

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Solution

The fourth proportional to 109,410.70, 164,116.05 and 35,538.70 is: 53,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410.70 : 164,116.05 = 35,538.70 : x
  2. Step 2: Convert to fraction form
    109,410.70/164,116.05 = 35,538.70/x
  3. Step 3: Cross multiply
    109,410.70x = 164,116.05 × 35,538.70
  4. Step 4: Simplify right side
    109,410.70x = 5,832,471,066.14
  5. Step 5: Solve for x
    x = 5,832,471,066.14/109,410.70
  6. Step 6: Final answer
    x = 53,308.05

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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.