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Finding the Fourth Proportional to 38,339.42, 52,907.82 and 22,208.90

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Solution

The fourth proportional to 38,339.42, 52,907.82 and 22,208.90 is: 30,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,339.42 : 52,907.82 = 22,208.90 : x
  2. Step 2: Convert to fraction form
    38,339.42/52,907.82 = 22,208.90/x
  3. Step 3: Cross multiply
    38,339.42x = 52,907.82 × 22,208.90
  4. Step 4: Simplify right side
    38,339.42x = 1,175,024,483.60
  5. Step 5: Solve for x
    x = 1,175,024,483.60/38,339.42
  6. Step 6: Final answer
    x = 30,647.95

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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.