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Finding the Fourth Proportional to 57,057.57, 78,733.40 and 31,559.90

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Solution

The fourth proportional to 57,057.57, 78,733.40 and 31,559.90 is: 43,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.57 : 78,733.40 = 31,559.90 : x
  2. Step 2: Convert to fraction form
    57,057.57/78,733.40 = 31,559.90/x
  3. Step 3: Cross multiply
    57,057.57x = 78,733.40 × 31,559.90
  4. Step 4: Simplify right side
    57,057.57x = 2,484,817,679.19
  5. Step 5: Solve for x
    x = 2,484,817,679.19/57,057.57
  6. Step 6: Final answer
    x = 43,549.31

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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.