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Finding the Fourth Proportional to 57,065.34, 78,752.52 and 31,571.29

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Solution

The fourth proportional to 57,065.34, 78,752.52 and 31,571.29 is: 43,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,065.34 : 78,752.52 = 31,571.29 : x
  2. Step 2: Convert to fraction form
    57,065.34/78,752.52 = 31,571.29/x
  3. Step 3: Cross multiply
    57,065.34x = 78,752.52 × 31,571.29
  4. Step 4: Simplify right side
    57,065.34x = 2,486,318,647.15
  5. Step 5: Solve for x
    x = 2,486,318,647.15/57,065.34
  6. Step 6: Final answer
    x = 43,569.68

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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.