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Finding the Fourth Proportional to 30,793.29, 42,494.61 and 16,646.10

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Solution

The fourth proportional to 30,793.29, 42,494.61 and 16,646.10 is: 22,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.29 : 42,494.61 = 16,646.10 : x
  2. Step 2: Convert to fraction form
    30,793.29/42,494.61 = 16,646.10/x
  3. Step 3: Cross multiply
    30,793.29x = 42,494.61 × 16,646.10
  4. Step 4: Simplify right side
    30,793.29x = 707,369,527.52
  5. Step 5: Solve for x
    x = 707,369,527.52/30,793.29
  6. Step 6: Final answer
    x = 22,971.55

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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.