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Finding the Fourth Proportional to 71,006.63, 106,546.39 and 35,947.19

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Solution

The fourth proportional to 71,006.63, 106,546.39 and 35,947.19 is: 53,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,006.63 : 106,546.39 = 35,947.19 : x
  2. Step 2: Convert to fraction form
    71,006.63/106,546.39 = 35,947.19/x
  3. Step 3: Cross multiply
    71,006.63x = 106,546.39 × 35,947.19
  4. Step 4: Simplify right side
    71,006.63x = 3,830,043,501.64
  5. Step 5: Solve for x
    x = 3,830,043,501.64/71,006.63
  6. Step 6: Final answer
    x = 53,939.24

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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.