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Finding the Fourth Proportional to 57,165.75, 78,888.58 and 31,672.16

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Solution

The fourth proportional to 57,165.75, 78,888.58 and 31,672.16 is: 43,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,165.75 : 78,888.58 = 31,672.16 : x
  2. Step 2: Convert to fraction form
    57,165.75/78,888.58 = 31,672.16/x
  3. Step 3: Cross multiply
    57,165.75x = 78,888.58 × 31,672.16
  4. Step 4: Simplify right side
    57,165.75x = 2,498,572,172.05
  5. Step 5: Solve for x
    x = 2,498,572,172.05/57,165.75
  6. Step 6: Final answer
    x = 43,707.50

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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.