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Finding the Fourth Proportional to 41,465, 57,221.74 and 22,602.20

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Solution

The fourth proportional to 41,465, 57,221.74 and 22,602.20 is: 31,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,465 : 57,221.74 = 22,602.20 : x
  2. Step 2: Convert to fraction form
    41,465/57,221.74 = 22,602.20/x
  3. Step 3: Cross multiply
    41,465x = 57,221.74 × 22,602.20
  4. Step 4: Simplify right side
    41,465x = 1,293,337,211.83
  5. Step 5: Solve for x
    x = 1,293,337,211.83/41,465
  6. Step 6: Final answer
    x = 31,191.06

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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.