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Finding the Fourth Proportional to 36,478.54, 50,341.40 and 22,141

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Solution

The fourth proportional to 36,478.54, 50,341.40 and 22,141 is: 30,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.54 : 50,341.40 = 22,141 : x
  2. Step 2: Convert to fraction form
    36,478.54/50,341.40 = 22,141/x
  3. Step 3: Cross multiply
    36,478.54x = 50,341.40 × 22,141
  4. Step 4: Simplify right side
    36,478.54x = 1,114,608,937.40
  5. Step 5: Solve for x
    x = 1,114,608,937.40/36,478.54
  6. Step 6: Final answer
    x = 30,555.20

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