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Finding the Fourth Proportional to 53,193.84, 80,163.66 and 47,934.78

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Solution

The fourth proportional to 53,193.84, 80,163.66 and 47,934.78 is: 72,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,193.84 : 80,163.66 = 47,934.78 : x
  2. Step 2: Convert to fraction form
    53,193.84/80,163.66 = 47,934.78/x
  3. Step 3: Cross multiply
    53,193.84x = 80,163.66 × 47,934.78
  4. Step 4: Simplify right side
    53,193.84x = 3,842,627,406.09
  5. Step 5: Solve for x
    x = 3,842,627,406.09/53,193.84
  6. Step 6: Final answer
    x = 72,238.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.