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Finding the Fourth Proportional to 30,793.42, 42,494.94 and 16,646.26

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Solution

The fourth proportional to 30,793.42, 42,494.94 and 16,646.26 is: 22,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.42 : 42,494.94 = 16,646.26 : x
  2. Step 2: Convert to fraction form
    30,793.42/42,494.94 = 16,646.26/x
  3. Step 3: Cross multiply
    30,793.42x = 42,494.94 × 16,646.26
  4. Step 4: Simplify right side
    30,793.42x = 707,381,819.92
  5. Step 5: Solve for x
    x = 707,381,819.92/30,793.42
  6. Step 6: Final answer
    x = 22,971.85

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