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Finding the Fourth Proportional to 41,164.50, 56,807 and 22,301.62

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Solution

The fourth proportional to 41,164.50, 56,807 and 22,301.62 is: 30,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164.50 : 56,807 = 22,301.62 : x
  2. Step 2: Convert to fraction form
    41,164.50/56,807 = 22,301.62/x
  3. Step 3: Cross multiply
    41,164.50x = 56,807 × 22,301.62
  4. Step 4: Simplify right side
    41,164.50x = 1,266,888,127.34
  5. Step 5: Solve for x
    x = 1,266,888,127.34/41,164.50
  6. Step 6: Final answer
    x = 30,776.23

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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.