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Finding the Fourth Proportional to 90,061.56, 135,094.20 and 27,732

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Solution

The fourth proportional to 90,061.56, 135,094.20 and 27,732 is: 41,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,061.56 : 135,094.20 = 27,732 : x
  2. Step 2: Convert to fraction form
    90,061.56/135,094.20 = 27,732/x
  3. Step 3: Cross multiply
    90,061.56x = 135,094.20 × 27,732
  4. Step 4: Simplify right side
    90,061.56x = 3,746,432,354.40
  5. Step 5: Solve for x
    x = 3,746,432,354.40/90,061.56
  6. Step 6: Final answer
    x = 41,598.57

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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.