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Finding the Fourth Proportional to 73,817.88, 110,744.40 and 23,898

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Solution

The fourth proportional to 73,817.88, 110,744.40 and 23,898 is: 35,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,817.88 : 110,744.40 = 23,898 : x
  2. Step 2: Convert to fraction form
    73,817.88/110,744.40 = 23,898/x
  3. Step 3: Cross multiply
    73,817.88x = 110,744.40 × 23,898
  4. Step 4: Simplify right side
    73,817.88x = 2,646,569,671.20
  5. Step 5: Solve for x
    x = 2,646,569,671.20/73,817.88
  6. Step 6: Final answer
    x = 35,852.69

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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.