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Finding the Fourth Proportional to 56,647.54, 84,921.63 and 21,563.86

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Solution

The fourth proportional to 56,647.54, 84,921.63 and 21,563.86 is: 32,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,647.54 : 84,921.63 = 21,563.86 : x
  2. Step 2: Convert to fraction form
    56,647.54/84,921.63 = 21,563.86/x
  3. Step 3: Cross multiply
    56,647.54x = 84,921.63 × 21,563.86
  4. Step 4: Simplify right side
    56,647.54x = 1,831,238,140.29
  5. Step 5: Solve for x
    x = 1,831,238,140.29/56,647.54
  6. Step 6: Final answer
    x = 32,326.88

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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.