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Finding the Fourth Proportional to 97,299.92, 134,272 and 54,858.48

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Solution

The fourth proportional to 97,299.92, 134,272 and 54,858.48 is: 75,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,299.92 : 134,272 = 54,858.48 : x
  2. Step 2: Convert to fraction form
    97,299.92/134,272 = 54,858.48/x
  3. Step 3: Cross multiply
    97,299.92x = 134,272 × 54,858.48
  4. Step 4: Simplify right side
    97,299.92x = 7,365,957,826.56
  5. Step 5: Solve for x
    x = 7,365,957,826.56/97,299.92
  6. Step 6: Final answer
    x = 75,703.64

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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.