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Finding the Fourth Proportional to 117,670.42, 176,505.54 and 47,549.71

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Solution

The fourth proportional to 117,670.42, 176,505.54 and 47,549.71 is: 71,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,670.42 : 176,505.54 = 47,549.71 : x
  2. Step 2: Convert to fraction form
    117,670.42/176,505.54 = 47,549.71/x
  3. Step 3: Cross multiply
    117,670.42x = 176,505.54 × 47,549.71
  4. Step 4: Simplify right side
    117,670.42x = 8,392,787,240.39
  5. Step 5: Solve for x
    x = 8,392,787,240.39/117,670.42
  6. Step 6: Final answer
    x = 71,324.53

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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.