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Finding the Fourth Proportional to 85,235.92, 127,868.22 and 26,057.74

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Solution

The fourth proportional to 85,235.92, 127,868.22 and 26,057.74 is: 39,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,235.92 : 127,868.22 = 26,057.74 : x
  2. Step 2: Convert to fraction form
    85,235.92/127,868.22 = 26,057.74/x
  3. Step 3: Cross multiply
    85,235.92x = 127,868.22 × 26,057.74
  4. Step 4: Simplify right side
    85,235.92x = 3,331,956,831.02
  5. Step 5: Solve for x
    x = 3,331,956,831.02/85,235.92
  6. Step 6: Final answer
    x = 39,090.99

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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.