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Finding the Fourth Proportional to 33,243.64, 50,032.75 and 24,967

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Solution

The fourth proportional to 33,243.64, 50,032.75 and 24,967 is: 37,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.64 : 50,032.75 = 24,967 : x
  2. Step 2: Convert to fraction form
    33,243.64/50,032.75 = 24,967/x
  3. Step 3: Cross multiply
    33,243.64x = 50,032.75 × 24,967
  4. Step 4: Simplify right side
    33,243.64x = 1,249,167,669.25
  5. Step 5: Solve for x
    x = 1,249,167,669.25/33,243.64
  6. Step 6: Final answer
    x = 37,576.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.