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Finding the Fourth Proportional to 135,096.74, 202,649.24 and 46,349

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Solution

The fourth proportional to 135,096.74, 202,649.24 and 46,349 is: 69,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096.74 : 202,649.24 = 46,349 : x
  2. Step 2: Convert to fraction form
    135,096.74/202,649.24 = 46,349/x
  3. Step 3: Cross multiply
    135,096.74x = 202,649.24 × 46,349
  4. Step 4: Simplify right side
    135,096.74x = 9,392,589,624.76
  5. Step 5: Solve for x
    x = 9,392,589,624.76/135,096.74
  6. Step 6: Final answer
    x = 69,524.92

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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.