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Finding the Fourth Proportional to 97,637.82, 134,737.11 and 55,193.82

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Solution

The fourth proportional to 97,637.82, 134,737.11 and 55,193.82 is: 76,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,637.82 : 134,737.11 = 55,193.82 : x
  2. Step 2: Convert to fraction form
    97,637.82/134,737.11 = 55,193.82/x
  3. Step 3: Cross multiply
    97,637.82x = 134,737.11 × 55,193.82
  4. Step 4: Simplify right side
    97,637.82x = 7,436,655,796.66
  5. Step 5: Solve for x
    x = 7,436,655,796.66/97,637.82
  6. Step 6: Final answer
    x = 76,165.73

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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.