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Finding the Fourth Proportional to 48,693, 73,039.56 and 11,757

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Solution

The fourth proportional to 48,693, 73,039.56 and 11,757 is: 17,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,693 : 73,039.56 = 11,757 : x
  2. Step 2: Convert to fraction form
    48,693/73,039.56 = 11,757/x
  3. Step 3: Cross multiply
    48,693x = 73,039.56 × 11,757
  4. Step 4: Simplify right side
    48,693x = 858,726,106.92
  5. Step 5: Solve for x
    x = 858,726,106.92/48,693
  6. Step 6: Final answer
    x = 17,635.51

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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.