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Finding the Fourth Proportional to 41,166.38, 56,809.78 and 22,303.50

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Solution

The fourth proportional to 41,166.38, 56,809.78 and 22,303.50 is: 30,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,166.38 : 56,809.78 = 22,303.50 : x
  2. Step 2: Convert to fraction form
    41,166.38/56,809.78 = 22,303.50/x
  3. Step 3: Cross multiply
    41,166.38x = 56,809.78 × 22,303.50
  4. Step 4: Simplify right side
    41,166.38x = 1,267,056,928.23
  5. Step 5: Solve for x
    x = 1,267,056,928.23/41,166.38
  6. Step 6: Final answer
    x = 30,778.93

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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.