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Finding the Fourth Proportional to 56,646, 78,171.48 and 31,500.48

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Solution

The fourth proportional to 56,646, 78,171.48 and 31,500.48 is: 43,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646 : 78,171.48 = 31,500.48 : x
  2. Step 2: Convert to fraction form
    56,646/78,171.48 = 31,500.48/x
  3. Step 3: Cross multiply
    56,646x = 78,171.48 × 31,500.48
  4. Step 4: Simplify right side
    56,646x = 2,462,439,142.31
  5. Step 5: Solve for x
    x = 2,462,439,142.31/56,646
  6. Step 6: Final answer
    x = 43,470.66

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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.