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Finding the Fourth Proportional to 53,469.50, 73,807.36 and 31,113.50

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Solution

The fourth proportional to 53,469.50, 73,807.36 and 31,113.50 is: 42,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469.50 : 73,807.36 = 31,113.50 : x
  2. Step 2: Convert to fraction form
    53,469.50/73,807.36 = 31,113.50/x
  3. Step 3: Cross multiply
    53,469.50x = 73,807.36 × 31,113.50
  4. Step 4: Simplify right side
    53,469.50x = 2,296,405,295.36
  5. Step 5: Solve for x
    x = 2,296,405,295.36/53,469.50
  6. Step 6: Final answer
    x = 42,947.95

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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.