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Finding the Fourth Proportional to 38,817, 53,567.46 and 22,050

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Solution

The fourth proportional to 38,817, 53,567.46 and 22,050 is: 30,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,817 : 53,567.46 = 22,050 : x
  2. Step 2: Convert to fraction form
    38,817/53,567.46 = 22,050/x
  3. Step 3: Cross multiply
    38,817x = 53,567.46 × 22,050
  4. Step 4: Simplify right side
    38,817x = 1,181,162,493
  5. Step 5: Solve for x
    x = 1,181,162,493/38,817
  6. Step 6: Final answer
    x = 30,429

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.