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Finding the Fourth Proportional to 32,834.50, 49,278.63 and 22,993.54

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Solution

The fourth proportional to 32,834.50, 49,278.63 and 22,993.54 is: 34,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.50 : 49,278.63 = 22,993.54 : x
  2. Step 2: Convert to fraction form
    32,834.50/49,278.63 = 22,993.54/x
  3. Step 3: Cross multiply
    32,834.50x = 49,278.63 × 22,993.54
  4. Step 4: Simplify right side
    32,834.50x = 1,133,090,150.05
  5. Step 5: Solve for x
    x = 1,133,090,150.05/32,834.50
  6. Step 6: Final answer
    x = 34,509.13

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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.