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Finding the Fourth Proportional to 53,529.50, 80,294.26 and 16,593.50

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Solution

The fourth proportional to 53,529.50, 80,294.26 and 16,593.50 is: 24,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,529.50 : 80,294.26 = 16,593.50 : x
  2. Step 2: Convert to fraction form
    53,529.50/80,294.26 = 16,593.50/x
  3. Step 3: Cross multiply
    53,529.50x = 80,294.26 × 16,593.50
  4. Step 4: Simplify right side
    53,529.50x = 1,332,362,803.31
  5. Step 5: Solve for x
    x = 1,332,362,803.31/53,529.50
  6. Step 6: Final answer
    x = 24,890.25

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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.