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Finding the Fourth Proportional to 33,742.50, 50,579.19 and 14,032.50

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Solution

The fourth proportional to 33,742.50, 50,579.19 and 14,032.50 is: 21,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742.50 : 50,579.19 = 14,032.50 : x
  2. Step 2: Convert to fraction form
    33,742.50/50,579.19 = 14,032.50/x
  3. Step 3: Cross multiply
    33,742.50x = 50,579.19 × 14,032.50
  4. Step 4: Simplify right side
    33,742.50x = 709,752,483.68
  5. Step 5: Solve for x
    x = 709,752,483.68/33,742.50
  6. Step 6: Final answer
    x = 21,034.38

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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.