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Finding the Fourth Proportional to 85,270.41, 127,850.94 and 35,384.94

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Solution

The fourth proportional to 85,270.41, 127,850.94 and 35,384.94 is: 53,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,270.41 : 127,850.94 = 35,384.94 : x
  2. Step 2: Convert to fraction form
    85,270.41/127,850.94 = 35,384.94/x
  3. Step 3: Cross multiply
    85,270.41x = 127,850.94 × 35,384.94
  4. Step 4: Simplify right side
    85,270.41x = 4,523,998,320.28
  5. Step 5: Solve for x
    x = 4,523,998,320.28/85,270.41
  6. Step 6: Final answer
    x = 53,054.72

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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.