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Finding the Fourth Proportional to 56,380.44, 84,574.64 and 22,646.48

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Solution

The fourth proportional to 56,380.44, 84,574.64 and 22,646.48 is: 33,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,380.44 : 84,574.64 = 22,646.48 : x
  2. Step 2: Convert to fraction form
    56,380.44/84,574.64 = 22,646.48/x
  3. Step 3: Cross multiply
    56,380.44x = 84,574.64 × 22,646.48
  4. Step 4: Simplify right side
    56,380.44x = 1,915,317,893.27
  5. Step 5: Solve for x
    x = 1,915,317,893.27/56,380.44
  6. Step 6: Final answer
    x = 33,971.32

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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.