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Finding the Fourth Proportional to 75,957.82, 113,926.74 and 23,362.90

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Solution

The fourth proportional to 75,957.82, 113,926.74 and 23,362.90 is: 35,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957.82 : 113,926.74 = 23,362.90 : x
  2. Step 2: Convert to fraction form
    75,957.82/113,926.74 = 23,362.90/x
  3. Step 3: Cross multiply
    75,957.82x = 113,926.74 × 23,362.90
  4. Step 4: Simplify right side
    75,957.82x = 2,661,659,033.95
  5. Step 5: Solve for x
    x = 2,661,659,033.95/75,957.82
  6. Step 6: Final answer
    x = 35,041.28

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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.