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Finding the Fourth Proportional to 85,233.32, 127,849.87 and 22,903.82

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Solution

The fourth proportional to 85,233.32, 127,849.87 and 22,903.82 is: 34,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,233.32 : 127,849.87 = 22,903.82 : x
  2. Step 2: Convert to fraction form
    85,233.32/127,849.87 = 22,903.82/x
  3. Step 3: Cross multiply
    85,233.32x = 127,849.87 × 22,903.82
  4. Step 4: Simplify right side
    85,233.32x = 2,928,250,409.50
  5. Step 5: Solve for x
    x = 2,928,250,409.50/85,233.32
  6. Step 6: Final answer
    x = 34,355.70

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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.