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Finding the Fourth Proportional to 40,223.85, 55,508.90 and 22,318.98

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Solution

The fourth proportional to 40,223.85, 55,508.90 and 22,318.98 is: 30,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,223.85 : 55,508.90 = 22,318.98 : x
  2. Step 2: Convert to fraction form
    40,223.85/55,508.90 = 22,318.98/x
  3. Step 3: Cross multiply
    40,223.85x = 55,508.90 × 22,318.98
  4. Step 4: Simplify right side
    40,223.85x = 1,238,901,751.38
  5. Step 5: Solve for x
    x = 1,238,901,751.38/40,223.85
  6. Step 6: Final answer
    x = 30,800.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.