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Finding the Fourth Proportional to 53,777.60, 80,569.20 and 47,556.80

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Solution

The fourth proportional to 53,777.60, 80,569.20 and 47,556.80 is: 71,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,777.60 : 80,569.20 = 47,556.80 : x
  2. Step 2: Convert to fraction form
    53,777.60/80,569.20 = 47,556.80/x
  3. Step 3: Cross multiply
    53,777.60x = 80,569.20 × 47,556.80
  4. Step 4: Simplify right side
    53,777.60x = 3,831,613,330.56
  5. Step 5: Solve for x
    x = 3,831,613,330.56/53,777.60
  6. Step 6: Final answer
    x = 71,249.24

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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.