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Finding the Fourth Proportional to 74,101.98, 111,153.25 and 17,942

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Solution

The fourth proportional to 74,101.98, 111,153.25 and 17,942 is: 26,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,101.98 : 111,153.25 = 17,942 : x
  2. Step 2: Convert to fraction form
    74,101.98/111,153.25 = 17,942/x
  3. Step 3: Cross multiply
    74,101.98x = 111,153.25 × 17,942
  4. Step 4: Simplify right side
    74,101.98x = 1,994,311,656.36
  5. Step 5: Solve for x
    x = 1,994,311,656.36/74,101.98
  6. Step 6: Final answer
    x = 26,913.07

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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.