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Finding the Fourth Proportional to 69,272.87, 103,877.01 and 35,984

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Solution

The fourth proportional to 69,272.87, 103,877.01 and 35,984 is: 53,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,272.87 : 103,877.01 = 35,984 : x
  2. Step 2: Convert to fraction form
    69,272.87/103,877.01 = 35,984/x
  3. Step 3: Cross multiply
    69,272.87x = 103,877.01 × 35,984
  4. Step 4: Simplify right side
    69,272.87x = 3,737,910,327.84
  5. Step 5: Solve for x
    x = 3,737,910,327.84/69,272.87
  6. Step 6: Final answer
    x = 53,959.22

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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.