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Finding the Fourth Proportional to 85,662, 128,493 and 23,332.50

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Solution

The fourth proportional to 85,662, 128,493 and 23,332.50 is: 34,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,662 : 128,493 = 23,332.50 : x
  2. Step 2: Convert to fraction form
    85,662/128,493 = 23,332.50/x
  3. Step 3: Cross multiply
    85,662x = 128,493 × 23,332.50
  4. Step 4: Simplify right side
    85,662x = 2,998,062,922.50
  5. Step 5: Solve for x
    x = 2,998,062,922.50/85,662
  6. Step 6: Final answer
    x = 34,998.75

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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.