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Finding the Fourth Proportional to 56,806.52, 78,331.46 and 38,669

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Solution

The fourth proportional to 56,806.52, 78,331.46 and 38,669 is: 53,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,806.52 : 78,331.46 = 38,669 : x
  2. Step 2: Convert to fraction form
    56,806.52/78,331.46 = 38,669/x
  3. Step 3: Cross multiply
    56,806.52x = 78,331.46 × 38,669
  4. Step 4: Simplify right side
    56,806.52x = 3,028,999,226.74
  5. Step 5: Solve for x
    x = 3,028,999,226.74/56,806.52
  6. Step 6: Final answer
    x = 53,321.33

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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.