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Finding the Fourth Proportional to 76,571.67, 114,857.51 and 23,985.25

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Solution

The fourth proportional to 76,571.67, 114,857.51 and 23,985.25 is: 35,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,571.67 : 114,857.51 = 23,985.25 : x
  2. Step 2: Convert to fraction form
    76,571.67/114,857.51 = 23,985.25/x
  3. Step 3: Cross multiply
    76,571.67x = 114,857.51 × 23,985.25
  4. Step 4: Simplify right side
    76,571.67x = 2,754,886,091.73
  5. Step 5: Solve for x
    x = 2,754,886,091.73/76,571.67
  6. Step 6: Final answer
    x = 35,977.88

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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.