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Finding the Fourth Proportional to 114,332.42, 171,471.06 and 47,736.44

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Solution

The fourth proportional to 114,332.42, 171,471.06 and 47,736.44 is: 71,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,332.42 : 171,471.06 = 47,736.44 : x
  2. Step 2: Convert to fraction form
    114,332.42/171,471.06 = 47,736.44/x
  3. Step 3: Cross multiply
    114,332.42x = 171,471.06 × 47,736.44
  4. Step 4: Simplify right side
    114,332.42x = 8,185,418,275.09
  5. Step 5: Solve for x
    x = 8,185,418,275.09/114,332.42
  6. Step 6: Final answer
    x = 71,593.15

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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.