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Finding the Fourth Proportional to 30,793.80, 42,495.38 and 16,646.66

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Solution

The fourth proportional to 30,793.80, 42,495.38 and 16,646.66 is: 22,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.80 : 42,495.38 = 16,646.66 : x
  2. Step 2: Convert to fraction form
    30,793.80/42,495.38 = 16,646.66/x
  3. Step 3: Cross multiply
    30,793.80x = 42,495.38 × 16,646.66
  4. Step 4: Simplify right side
    30,793.80x = 707,406,142.43
  5. Step 5: Solve for x
    x = 707,406,142.43/30,793.80
  6. Step 6: Final answer
    x = 22,972.36

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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.