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Finding the Fourth Proportional to 32,834.84, 49,218.20 and 15,290.24

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Solution

The fourth proportional to 32,834.84, 49,218.20 and 15,290.24 is: 22,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.84 : 49,218.20 = 15,290.24 : x
  2. Step 2: Convert to fraction form
    32,834.84/49,218.20 = 15,290.24/x
  3. Step 3: Cross multiply
    32,834.84x = 49,218.20 × 15,290.24
  4. Step 4: Simplify right side
    32,834.84x = 752,558,090.37
  5. Step 5: Solve for x
    x = 752,558,090.37/32,834.84
  6. Step 6: Final answer
    x = 22,919.50

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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.