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Finding the Fourth Proportional to 32,834.74, 49,247.21 and 9,139.81

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Solution

The fourth proportional to 32,834.74, 49,247.21 and 9,139.81 is: 13,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.74 : 49,247.21 = 9,139.81 : x
  2. Step 2: Convert to fraction form
    32,834.74/49,247.21 = 9,139.81/x
  3. Step 3: Cross multiply
    32,834.74x = 49,247.21 × 9,139.81
  4. Step 4: Simplify right side
    32,834.74x = 450,109,850.50
  5. Step 5: Solve for x
    x = 450,109,850.50/32,834.74
  6. Step 6: Final answer
    x = 13,708.34

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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.