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Finding the Fourth Proportional to 57,502.50, 86,253.75 and 15,949.50

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Solution

The fourth proportional to 57,502.50, 86,253.75 and 15,949.50 is: 23,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502.50 : 86,253.75 = 15,949.50 : x
  2. Step 2: Convert to fraction form
    57,502.50/86,253.75 = 15,949.50/x
  3. Step 3: Cross multiply
    57,502.50x = 86,253.75 × 15,949.50
  4. Step 4: Simplify right side
    57,502.50x = 1,375,704,185.63
  5. Step 5: Solve for x
    x = 1,375,704,185.63/57,502.50
  6. Step 6: Final answer
    x = 23,924.25

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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.