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Finding the Fourth Proportional to 35,414.24, 53,122 and 9,119.52

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Solution

The fourth proportional to 35,414.24, 53,122 and 9,119.52 is: 13,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.24 : 53,122 = 9,119.52 : x
  2. Step 2: Convert to fraction form
    35,414.24/53,122 = 9,119.52/x
  3. Step 3: Cross multiply
    35,414.24x = 53,122 × 9,119.52
  4. Step 4: Simplify right side
    35,414.24x = 484,447,141.44
  5. Step 5: Solve for x
    x = 484,447,141.44/35,414.24
  6. Step 6: Final answer
    x = 13,679.44

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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.