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Finding the Fourth Proportional to 53,742.49, 80,648.70 and 20,462.83

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Solution

The fourth proportional to 53,742.49, 80,648.70 and 20,462.83 is: 30,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742.49 : 80,648.70 = 20,462.83 : x
  2. Step 2: Convert to fraction form
    53,742.49/80,648.70 = 20,462.83/x
  3. Step 3: Cross multiply
    53,742.49x = 80,648.70 × 20,462.83
  4. Step 4: Simplify right side
    53,742.49x = 1,650,300,637.82
  5. Step 5: Solve for x
    x = 1,650,300,637.82/53,742.49
  6. Step 6: Final answer
    x = 30,707.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.