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Finding the Fourth Proportional to 109,947.54, 164,810.52 and 43,361.94

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Solution

The fourth proportional to 109,947.54, 164,810.52 and 43,361.94 is: 64,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,947.54 : 164,810.52 = 43,361.94 : x
  2. Step 2: Convert to fraction form
    109,947.54/164,810.52 = 43,361.94/x
  3. Step 3: Cross multiply
    109,947.54x = 164,810.52 × 43,361.94
  4. Step 4: Simplify right side
    109,947.54x = 7,146,503,879.61
  5. Step 5: Solve for x
    x = 7,146,503,879.61/109,947.54
  6. Step 6: Final answer
    x = 64,999.22

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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.