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Finding the Fourth Proportional to 56,490.80, 77,964.21 and 32,617.41

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Solution

The fourth proportional to 56,490.80, 77,964.21 and 32,617.41 is: 45,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490.80 : 77,964.21 = 32,617.41 : x
  2. Step 2: Convert to fraction form
    56,490.80/77,964.21 = 32,617.41/x
  3. Step 3: Cross multiply
    56,490.80x = 77,964.21 × 32,617.41
  4. Step 4: Simplify right side
    56,490.80x = 2,542,990,602.90
  5. Step 5: Solve for x
    x = 2,542,990,602.90/56,490.80
  6. Step 6: Final answer
    x = 45,016.02

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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.