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Finding the Fourth Proportional to 106,122.50, 159,184.83 and 32,250.50

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Solution

The fourth proportional to 106,122.50, 159,184.83 and 32,250.50 is: 48,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,122.50 : 159,184.83 = 32,250.50 : x
  2. Step 2: Convert to fraction form
    106,122.50/159,184.83 = 32,250.50/x
  3. Step 3: Cross multiply
    106,122.50x = 159,184.83 × 32,250.50
  4. Step 4: Simplify right side
    106,122.50x = 5,133,790,359.92
  5. Step 5: Solve for x
    x = 5,133,790,359.92/106,122.50
  6. Step 6: Final answer
    x = 48,376.08

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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.