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Finding the Fourth Proportional to 90,342.56, 135,597.02 and 46,001

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Solution

The fourth proportional to 90,342.56, 135,597.02 and 46,001 is: 69,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,342.56 : 135,597.02 = 46,001 : x
  2. Step 2: Convert to fraction form
    90,342.56/135,597.02 = 46,001/x
  3. Step 3: Cross multiply
    90,342.56x = 135,597.02 × 46,001
  4. Step 4: Simplify right side
    90,342.56x = 6,237,598,517.02
  5. Step 5: Solve for x
    x = 6,237,598,517.02/90,342.56
  6. Step 6: Final answer
    x = 69,043.85

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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.