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Finding the Fourth Proportional to 56,077.92, 77,382.54 and 32,202.36

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Solution

The fourth proportional to 56,077.92, 77,382.54 and 32,202.36 is: 44,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,077.92 : 77,382.54 = 32,202.36 : x
  2. Step 2: Convert to fraction form
    56,077.92/77,382.54 = 32,202.36/x
  3. Step 3: Cross multiply
    56,077.92x = 77,382.54 × 32,202.36
  4. Step 4: Simplify right side
    56,077.92x = 2,491,900,410.79
  5. Step 5: Solve for x
    x = 2,491,900,410.79/56,077.92
  6. Step 6: Final answer
    x = 44,436.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.