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Finding the Fourth Proportional to 57,220.71, 85,809.96 and 19,771.17

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Solution

The fourth proportional to 57,220.71, 85,809.96 and 19,771.17 is: 29,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,220.71 : 85,809.96 = 19,771.17 : x
  2. Step 2: Convert to fraction form
    57,220.71/85,809.96 = 19,771.17/x
  3. Step 3: Cross multiply
    57,220.71x = 85,809.96 × 19,771.17
  4. Step 4: Simplify right side
    57,220.71x = 1,696,563,306.85
  5. Step 5: Solve for x
    x = 1,696,563,306.85/57,220.71
  6. Step 6: Final answer
    x = 29,649.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.