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Finding the Fourth Proportional to 31,767.53, 47,633.07 and 12,033.50

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Solution

The fourth proportional to 31,767.53, 47,633.07 and 12,033.50 is: 18,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.53 : 47,633.07 = 12,033.50 : x
  2. Step 2: Convert to fraction form
    31,767.53/47,633.07 = 12,033.50/x
  3. Step 3: Cross multiply
    31,767.53x = 47,633.07 × 12,033.50
  4. Step 4: Simplify right side
    31,767.53x = 573,192,547.85
  5. Step 5: Solve for x
    x = 573,192,547.85/31,767.53
  6. Step 6: Final answer
    x = 18,043.35

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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.