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Finding the Fourth Proportional to 33,279.22, 49,978.32 and 31,941.40

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Solution

The fourth proportional to 33,279.22, 49,978.32 and 31,941.40 is: 47,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,279.22 : 49,978.32 = 31,941.40 : x
  2. Step 2: Convert to fraction form
    33,279.22/49,978.32 = 31,941.40/x
  3. Step 3: Cross multiply
    33,279.22x = 49,978.32 × 31,941.40
  4. Step 4: Simplify right side
    33,279.22x = 1,596,377,510.45
  5. Step 5: Solve for x
    x = 1,596,377,510.45/33,279.22
  6. Step 6: Final answer
    x = 47,969.20

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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.