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Finding the Fourth Proportional to 109,700.28, 164,581.40 and 30,815.20

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Solution

The fourth proportional to 109,700.28, 164,581.40 and 30,815.20 is: 46,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,700.28 : 164,581.40 = 30,815.20 : x
  2. Step 2: Convert to fraction form
    109,700.28/164,581.40 = 30,815.20/x
  3. Step 3: Cross multiply
    109,700.28x = 164,581.40 × 30,815.20
  4. Step 4: Simplify right side
    109,700.28x = 5,071,608,757.28
  5. Step 5: Solve for x
    x = 5,071,608,757.28/109,700.28
  6. Step 6: Final answer
    x = 46,231.50

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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.