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Finding the Fourth Proportional to 27,681, 38,200.32 and 16,503

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Solution

The fourth proportional to 27,681, 38,200.32 and 16,503 is: 22,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681 : 38,200.32 = 16,503 : x
  2. Step 2: Convert to fraction form
    27,681/38,200.32 = 16,503/x
  3. Step 3: Cross multiply
    27,681x = 38,200.32 × 16,503
  4. Step 4: Simplify right side
    27,681x = 630,419,880.96
  5. Step 5: Solve for x
    x = 630,419,880.96/27,681
  6. Step 6: Final answer
    x = 22,774.46

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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.