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Finding the Fourth Proportional to 33,242.64, 50,031.24 and 24,966

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Solution

The fourth proportional to 33,242.64, 50,031.24 and 24,966 is: 37,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.64 : 50,031.24 = 24,966 : x
  2. Step 2: Convert to fraction form
    33,242.64/50,031.24 = 24,966/x
  3. Step 3: Cross multiply
    33,242.64x = 50,031.24 × 24,966
  4. Step 4: Simplify right side
    33,242.64x = 1,249,079,937.84
  5. Step 5: Solve for x
    x = 1,249,079,937.84/33,242.64
  6. Step 6: Final answer
    x = 37,574.63

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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.