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Finding the Fourth Proportional to 53,658.81, 80,488.78 and 16,219.19

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Solution

The fourth proportional to 53,658.81, 80,488.78 and 16,219.19 is: 24,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658.81 : 80,488.78 = 16,219.19 : x
  2. Step 2: Convert to fraction form
    53,658.81/80,488.78 = 16,219.19/x
  3. Step 3: Cross multiply
    53,658.81x = 80,488.78 × 16,219.19
  4. Step 4: Simplify right side
    53,658.81x = 1,305,462,976.36
  5. Step 5: Solve for x
    x = 1,305,462,976.36/53,658.81
  6. Step 6: Final answer
    x = 24,328.96

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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.