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Finding the Fourth Proportional to 56,782, 78,361.86 and 31,631.50

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Solution

The fourth proportional to 56,782, 78,361.86 and 31,631.50 is: 43,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782 : 78,361.86 = 31,631.50 : x
  2. Step 2: Convert to fraction form
    56,782/78,361.86 = 31,631.50/x
  3. Step 3: Cross multiply
    56,782x = 78,361.86 × 31,631.50
  4. Step 4: Simplify right side
    56,782x = 2,478,703,174.59
  5. Step 5: Solve for x
    x = 2,478,703,174.59/56,782
  6. Step 6: Final answer
    x = 43,652.97

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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.