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Finding the Fourth Proportional to 30,856.42, 46,279.90 and 9,793.73

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Solution

The fourth proportional to 30,856.42, 46,279.90 and 9,793.73 is: 14,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.42 : 46,279.90 = 9,793.73 : x
  2. Step 2: Convert to fraction form
    30,856.42/46,279.90 = 9,793.73/x
  3. Step 3: Cross multiply
    30,856.42x = 46,279.90 × 9,793.73
  4. Step 4: Simplify right side
    30,856.42x = 453,252,845.03
  5. Step 5: Solve for x
    x = 453,252,845.03/30,856.42
  6. Step 6: Final answer
    x = 14,689.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.