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Finding the Fourth Proportional to 53,806.64, 80,709.12 and 24,203.56

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Solution

The fourth proportional to 53,806.64, 80,709.12 and 24,203.56 is: 36,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806.64 : 80,709.12 = 24,203.56 : x
  2. Step 2: Convert to fraction form
    53,806.64/80,709.12 = 24,203.56/x
  3. Step 3: Cross multiply
    53,806.64x = 80,709.12 × 24,203.56
  4. Step 4: Simplify right side
    53,806.64x = 1,953,448,028.47
  5. Step 5: Solve for x
    x = 1,953,448,028.47/53,806.64
  6. Step 6: Final answer
    x = 36,304.96

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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.