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Finding the Fourth Proportional to 97,489.76, 134,535.92 and 52,777.76

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Solution

The fourth proportional to 97,489.76, 134,535.92 and 52,777.76 is: 72,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,489.76 : 134,535.92 = 52,777.76 : x
  2. Step 2: Convert to fraction form
    97,489.76/134,535.92 = 52,777.76/x
  3. Step 3: Cross multiply
    97,489.76x = 134,535.92 × 52,777.76
  4. Step 4: Simplify right side
    97,489.76x = 7,100,504,497.14
  5. Step 5: Solve for x
    x = 7,100,504,497.14/97,489.76
  6. Step 6: Final answer
    x = 72,833.34

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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.