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Finding the Fourth Proportional to 30,917.50, 46,338.24 and 14,254.42

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Solution

The fourth proportional to 30,917.50, 46,338.24 and 14,254.42 is: 21,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.50 : 46,338.24 = 14,254.42 : x
  2. Step 2: Convert to fraction form
    30,917.50/46,338.24 = 14,254.42/x
  3. Step 3: Cross multiply
    30,917.50x = 46,338.24 × 14,254.42
  4. Step 4: Simplify right side
    30,917.50x = 660,524,735.02
  5. Step 5: Solve for x
    x = 660,524,735.02/30,917.50
  6. Step 6: Final answer
    x = 21,364.11

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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.