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Finding the Fourth Proportional to 31,767.03, 47,632.32 and 12,033

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Solution

The fourth proportional to 31,767.03, 47,632.32 and 12,033 is: 18,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.03 : 47,632.32 = 12,033 : x
  2. Step 2: Convert to fraction form
    31,767.03/47,632.32 = 12,033/x
  3. Step 3: Cross multiply
    31,767.03x = 47,632.32 × 12,033
  4. Step 4: Simplify right side
    31,767.03x = 573,159,706.56
  5. Step 5: Solve for x
    x = 573,159,706.56/31,767.03
  6. Step 6: Final answer
    x = 18,042.60

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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.