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Finding the Fourth Proportional to 90,634.68, 135,965.82 and 46,237.20

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Solution

The fourth proportional to 90,634.68, 135,965.82 and 46,237.20 is: 69,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,634.68 : 135,965.82 = 46,237.20 : x
  2. Step 2: Convert to fraction form
    90,634.68/135,965.82 = 46,237.20/x
  3. Step 3: Cross multiply
    90,634.68x = 135,965.82 × 46,237.20
  4. Step 4: Simplify right side
    90,634.68x = 6,286,678,812.50
  5. Step 5: Solve for x
    x = 6,286,678,812.50/90,634.68
  6. Step 6: Final answer
    x = 69,362.84

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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.