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Finding the Fourth Proportional to 90,013.96, 135,023.10 and 27,685

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Solution

The fourth proportional to 90,013.96, 135,023.10 and 27,685 is: 41,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,013.96 : 135,023.10 = 27,685 : x
  2. Step 2: Convert to fraction form
    90,013.96/135,023.10 = 27,685/x
  3. Step 3: Cross multiply
    90,013.96x = 135,023.10 × 27,685
  4. Step 4: Simplify right side
    90,013.96x = 3,738,114,523.50
  5. Step 5: Solve for x
    x = 3,738,114,523.50/90,013.96
  6. Step 6: Final answer
    x = 41,528.16

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1.5x scale

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.