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Finding the Fourth Proportional to 85,076.80, 127,615.20 and 38,420.80

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Solution

The fourth proportional to 85,076.80, 127,615.20 and 38,420.80 is: 57,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,076.80 : 127,615.20 = 38,420.80 : x
  2. Step 2: Convert to fraction form
    85,076.80/127,615.20 = 38,420.80/x
  3. Step 3: Cross multiply
    85,076.80x = 127,615.20 × 38,420.80
  4. Step 4: Simplify right side
    85,076.80x = 4,903,078,076.16
  5. Step 5: Solve for x
    x = 4,903,078,076.16/85,076.80
  6. Step 6: Final answer
    x = 57,631.20

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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.