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Finding the Fourth Proportional to 56,760.96, 78,325.44 and 31,608

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Solution

The fourth proportional to 56,760.96, 78,325.44 and 31,608 is: 43,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,760.96 : 78,325.44 = 31,608 : x
  2. Step 2: Convert to fraction form
    56,760.96/78,325.44 = 31,608/x
  3. Step 3: Cross multiply
    56,760.96x = 78,325.44 × 31,608
  4. Step 4: Simplify right side
    56,760.96x = 2,475,710,507.52
  5. Step 5: Solve for x
    x = 2,475,710,507.52/56,760.96
  6. Step 6: Final answer
    x = 43,616.43

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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.