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Finding the Fourth Proportional to 139,822.50, 209,739 and 38,630.82

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Solution

The fourth proportional to 139,822.50, 209,739 and 38,630.82 is: 57,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,822.50 : 209,739 = 38,630.82 : x
  2. Step 2: Convert to fraction form
    139,822.50/209,739 = 38,630.82/x
  3. Step 3: Cross multiply
    139,822.50x = 209,739 × 38,630.82
  4. Step 4: Simplify right side
    139,822.50x = 8,102,389,555.98
  5. Step 5: Solve for x
    x = 8,102,389,555.98/139,822.50
  6. Step 6: Final answer
    x = 57,947.68

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