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Finding the Fourth Proportional to 38,413, 57,629.22 and 10,711

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Solution

The fourth proportional to 38,413, 57,629.22 and 10,711 is: 16,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413 : 57,629.22 = 10,711 : x
  2. Step 2: Convert to fraction form
    38,413/57,629.22 = 10,711/x
  3. Step 3: Cross multiply
    38,413x = 57,629.22 × 10,711
  4. Step 4: Simplify right side
    38,413x = 617,266,575.42
  5. Step 5: Solve for x
    x = 617,266,575.42/38,413
  6. Step 6: Final answer
    x = 16,069.21

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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.