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Finding the Fourth Proportional to 55,858.66, 83,827.98 and 20,319.92

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Solution

The fourth proportional to 55,858.66, 83,827.98 and 20,319.92 is: 30,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858.66 : 83,827.98 = 20,319.92 : x
  2. Step 2: Convert to fraction form
    55,858.66/83,827.98 = 20,319.92/x
  3. Step 3: Cross multiply
    55,858.66x = 83,827.98 × 20,319.92
  4. Step 4: Simplify right side
    55,858.66x = 1,703,377,847.36
  5. Step 5: Solve for x
    x = 1,703,377,847.36/55,858.66
  6. Step 6: Final answer
    x = 30,494.43

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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.