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Finding the Fourth Proportional to 56,538, 84,807 and 31,914

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Solution

The fourth proportional to 56,538, 84,807 and 31,914 is: 47,871

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,538 : 84,807 = 31,914 : x
  2. Step 2: Convert to fraction form
    56,538/84,807 = 31,914/x
  3. Step 3: Cross multiply
    56,538x = 84,807 × 31,914
  4. Step 4: Simplify right side
    56,538x = 2,706,530,598
  5. Step 5: Solve for x
    x = 2,706,530,598/56,538
  6. Step 6: Final answer
    x = 47,871

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.