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Finding the Fourth Proportional to 53,765.20, 80,647.80 and 20,933.20

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Solution

The fourth proportional to 53,765.20, 80,647.80 and 20,933.20 is: 31,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,765.20 : 80,647.80 = 20,933.20 : x
  2. Step 2: Convert to fraction form
    53,765.20/80,647.80 = 20,933.20/x
  3. Step 3: Cross multiply
    53,765.20x = 80,647.80 × 20,933.20
  4. Step 4: Simplify right side
    53,765.20x = 1,688,216,526.96
  5. Step 5: Solve for x
    x = 1,688,216,526.96/53,765.20
  6. Step 6: Final answer
    x = 31,399.80

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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.