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Finding the Fourth Proportional to 59,399.92, 89,081.24 and 19,409.78

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Solution

The fourth proportional to 59,399.92, 89,081.24 and 19,409.78 is: 29,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,399.92 : 89,081.24 = 19,409.78 : x
  2. Step 2: Convert to fraction form
    59,399.92/89,081.24 = 19,409.78/x
  3. Step 3: Cross multiply
    59,399.92x = 89,081.24 × 19,409.78
  4. Step 4: Simplify right side
    59,399.92x = 1,729,047,270.53
  5. Step 5: Solve for x
    x = 1,729,047,270.53/59,399.92
  6. Step 6: Final answer
    x = 29,108.58

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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.