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Finding the Fourth Proportional to 90,166.32, 135,262.80 and 27,822.24

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Solution

The fourth proportional to 90,166.32, 135,262.80 and 27,822.24 is: 41,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,166.32 : 135,262.80 = 27,822.24 : x
  2. Step 2: Convert to fraction form
    90,166.32/135,262.80 = 27,822.24/x
  3. Step 3: Cross multiply
    90,166.32x = 135,262.80 × 27,822.24
  4. Step 4: Simplify right side
    90,166.32x = 3,763,314,084.67
  5. Step 5: Solve for x
    x = 3,763,314,084.67/90,166.32
  6. Step 6: Final answer
    x = 41,737.47

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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.