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Finding the Fourth Proportional to 90,209.58, 135,331.38 and 27,865.50

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Solution

The fourth proportional to 90,209.58, 135,331.38 and 27,865.50 is: 41,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,209.58 : 135,331.38 = 27,865.50 : x
  2. Step 2: Convert to fraction form
    90,209.58/135,331.38 = 27,865.50/x
  3. Step 3: Cross multiply
    90,209.58x = 135,331.38 × 27,865.50
  4. Step 4: Simplify right side
    90,209.58x = 3,771,076,569.39
  5. Step 5: Solve for x
    x = 3,771,076,569.39/90,209.58
  6. Step 6: Final answer
    x = 41,803.50

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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.