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Finding the Fourth Proportional to 76,745.92, 115,103.36 and 26,828.16

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Solution

The fourth proportional to 76,745.92, 115,103.36 and 26,828.16 is: 40,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,745.92 : 115,103.36 = 26,828.16 : x
  2. Step 2: Convert to fraction form
    76,745.92/115,103.36 = 26,828.16/x
  3. Step 3: Cross multiply
    76,745.92x = 115,103.36 × 26,828.16
  4. Step 4: Simplify right side
    76,745.92x = 3,088,011,358.62
  5. Step 5: Solve for x
    x = 3,088,011,358.62/76,745.92
  6. Step 6: Final answer
    x = 40,236.81

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1.5x scale

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.