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Finding the Fourth Proportional to 109,475.92, 164,237.70 and 33,574.50

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Solution

The fourth proportional to 109,475.92, 164,237.70 and 33,574.50 is: 50,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,475.92 : 164,237.70 = 33,574.50 : x
  2. Step 2: Convert to fraction form
    109,475.92/164,237.70 = 33,574.50/x
  3. Step 3: Cross multiply
    109,475.92x = 164,237.70 × 33,574.50
  4. Step 4: Simplify right side
    109,475.92x = 5,514,198,164.12
  5. Step 5: Solve for x
    x = 5,514,198,164.12/109,475.92
  6. Step 6: Final answer
    x = 50,369.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.