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Finding the Fourth Proportional to 56,662, 78,193.56 and 31,511.50

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Solution

The fourth proportional to 56,662, 78,193.56 and 31,511.50 is: 43,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,662 : 78,193.56 = 31,511.50 : x
  2. Step 2: Convert to fraction form
    56,662/78,193.56 = 31,511.50/x
  3. Step 3: Cross multiply
    56,662x = 78,193.56 × 31,511.50
  4. Step 4: Simplify right side
    56,662x = 2,463,996,365.94
  5. Step 5: Solve for x
    x = 2,463,996,365.94/56,662
  6. Step 6: Final answer
    x = 43,485.87

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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.