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Finding the Fourth Proportional to 77,201.56, 115,817.70 and 32,827.96

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Solution

The fourth proportional to 77,201.56, 115,817.70 and 32,827.96 is: 49,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,201.56 : 115,817.70 = 32,827.96 : x
  2. Step 2: Convert to fraction form
    77,201.56/115,817.70 = 32,827.96/x
  3. Step 3: Cross multiply
    77,201.56x = 115,817.70 × 32,827.96
  4. Step 4: Simplify right side
    77,201.56x = 3,802,058,822.89
  5. Step 5: Solve for x
    x = 3,802,058,822.89/77,201.56
  6. Step 6: Final answer
    x = 49,248.47

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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.