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Finding the Fourth Proportional to 32,022.84, 47,969.86 and 15,963.92

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Solution

The fourth proportional to 32,022.84, 47,969.86 and 15,963.92 is: 23,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.84 : 47,969.86 = 15,963.92 : x
  2. Step 2: Convert to fraction form
    32,022.84/47,969.86 = 15,963.92/x
  3. Step 3: Cross multiply
    32,022.84x = 47,969.86 × 15,963.92
  4. Step 4: Simplify right side
    32,022.84x = 765,787,007.45
  5. Step 5: Solve for x
    x = 765,787,007.45/32,022.84
  6. Step 6: Final answer
    x = 23,913.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.