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Finding the Fourth Proportional to 75,752.48, 113,649.74 and 33,061.64

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Solution

The fourth proportional to 75,752.48, 113,649.74 and 33,061.64 is: 49,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,752.48 : 113,649.74 = 33,061.64 : x
  2. Step 2: Convert to fraction form
    75,752.48/113,649.74 = 33,061.64/x
  3. Step 3: Cross multiply
    75,752.48x = 113,649.74 × 33,061.64
  4. Step 4: Simplify right side
    75,752.48x = 3,757,446,056.42
  5. Step 5: Solve for x
    x = 3,757,446,056.42/75,752.48
  6. Step 6: Final answer
    x = 49,601.62

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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.