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Finding the Fourth Proportional to 32,007.80, 48,033.30 and 17,967.80

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Solution

The fourth proportional to 32,007.80, 48,033.30 and 17,967.80 is: 26,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.80 : 48,033.30 = 17,967.80 : x
  2. Step 2: Convert to fraction form
    32,007.80/48,033.30 = 17,967.80/x
  3. Step 3: Cross multiply
    32,007.80x = 48,033.30 × 17,967.80
  4. Step 4: Simplify right side
    32,007.80x = 863,052,727.74
  5. Step 5: Solve for x
    x = 863,052,727.74/32,007.80
  6. Step 6: Final answer
    x = 26,963.83

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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.