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Finding the Fourth Proportional to 56,619, 78,136.65 and 31,468.50

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Solution

The fourth proportional to 56,619, 78,136.65 and 31,468.50 is: 43,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,619 : 78,136.65 = 31,468.50 : x
  2. Step 2: Convert to fraction form
    56,619/78,136.65 = 31,468.50/x
  3. Step 3: Cross multiply
    56,619x = 78,136.65 × 31,468.50
  4. Step 4: Simplify right side
    56,619x = 2,458,843,170.53
  5. Step 5: Solve for x
    x = 2,458,843,170.53/56,619
  6. Step 6: Final answer
    x = 43,427.88

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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.