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Finding the Fourth Proportional to 59,427.56, 82,009.31 and 32,203.05

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Solution

The fourth proportional to 59,427.56, 82,009.31 and 32,203.05 is: 44,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427.56 : 82,009.31 = 32,203.05 : x
  2. Step 2: Convert to fraction form
    59,427.56/82,009.31 = 32,203.05/x
  3. Step 3: Cross multiply
    59,427.56x = 82,009.31 × 32,203.05
  4. Step 4: Simplify right side
    59,427.56x = 2,640,949,749.38
  5. Step 5: Solve for x
    x = 2,640,949,749.38/59,427.56
  6. Step 6: Final answer
    x = 44,439.82

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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.