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Finding the Fourth Proportional to 90,632.66, 135,962.84 and 46,235.20

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Solution

The fourth proportional to 90,632.66, 135,962.84 and 46,235.20 is: 69,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,632.66 : 135,962.84 = 46,235.20 : x
  2. Step 2: Convert to fraction form
    90,632.66/135,962.84 = 46,235.20/x
  3. Step 3: Cross multiply
    90,632.66x = 135,962.84 × 46,235.20
  4. Step 4: Simplify right side
    90,632.66x = 6,286,269,099.97
  5. Step 5: Solve for x
    x = 6,286,269,099.97/90,632.66
  6. Step 6: Final answer
    x = 69,359.87

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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.