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Finding the Fourth Proportional to 30,856.35, 46,247.43 and 14,193.42

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Solution

The fourth proportional to 30,856.35, 46,247.43 and 14,193.42 is: 21,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.35 : 46,247.43 = 14,193.42 : x
  2. Step 2: Convert to fraction form
    30,856.35/46,247.43 = 14,193.42/x
  3. Step 3: Cross multiply
    30,856.35x = 46,247.43 × 14,193.42
  4. Step 4: Simplify right side
    30,856.35x = 656,409,197.91
  5. Step 5: Solve for x
    x = 656,409,197.91/30,856.35
  6. Step 6: Final answer
    x = 21,273.07

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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.