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Finding the Fourth Proportional to 30,793.71, 42,495.38 and 16,646.55

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Solution

The fourth proportional to 30,793.71, 42,495.38 and 16,646.55 is: 22,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.71 : 42,495.38 = 16,646.55 : x
  2. Step 2: Convert to fraction form
    30,793.71/42,495.38 = 16,646.55/x
  3. Step 3: Cross multiply
    30,793.71x = 42,495.38 × 16,646.55
  4. Step 4: Simplify right side
    30,793.71x = 707,401,509.56
  5. Step 5: Solve for x
    x = 707,401,509.56/30,793.71
  6. Step 6: Final answer
    x = 22,972.27

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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.