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Finding the Fourth Proportional to 97,633.89, 134,747.24 and 54,615.77

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Solution

The fourth proportional to 97,633.89, 134,747.24 and 54,615.77 is: 75,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,633.89 : 134,747.24 = 54,615.77 : x
  2. Step 2: Convert to fraction form
    97,633.89/134,747.24 = 54,615.77/x
  3. Step 3: Cross multiply
    97,633.89x = 134,747.24 × 54,615.77
  4. Step 4: Simplify right side
    97,633.89x = 7,359,324,095.27
  5. Step 5: Solve for x
    x = 7,359,324,095.27/97,633.89
  6. Step 6: Final answer
    x = 75,376.74

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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.