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Finding the Fourth Proportional to 85,172.76, 127,784.07 and 25,202.75

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Solution

The fourth proportional to 85,172.76, 127,784.07 and 25,202.75 is: 37,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172.76 : 127,784.07 = 25,202.75 : x
  2. Step 2: Convert to fraction form
    85,172.76/127,784.07 = 25,202.75/x
  3. Step 3: Cross multiply
    85,172.76x = 127,784.07 × 25,202.75
  4. Step 4: Simplify right side
    85,172.76x = 3,220,509,331.27
  5. Step 5: Solve for x
    x = 3,220,509,331.27/85,172.76
  6. Step 6: Final answer
    x = 37,811.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.