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Finding the Fourth Proportional to 114,665.72, 171,932.34 and 44,463.02

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Solution

The fourth proportional to 114,665.72, 171,932.34 and 44,463.02 is: 66,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,665.72 : 171,932.34 = 44,463.02 : x
  2. Step 2: Convert to fraction form
    114,665.72/171,932.34 = 44,463.02/x
  3. Step 3: Cross multiply
    114,665.72x = 171,932.34 × 44,463.02
  4. Step 4: Simplify right side
    114,665.72x = 7,644,630,212.41
  5. Step 5: Solve for x
    x = 7,644,630,212.41/114,665.72
  6. Step 6: Final answer
    x = 66,668.84

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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.