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Finding the Fourth Proportional to 114,596.46, 171,890.90 and 47,126.16

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Solution

The fourth proportional to 114,596.46, 171,890.90 and 47,126.16 is: 70,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,596.46 : 171,890.90 = 47,126.16 : x
  2. Step 2: Convert to fraction form
    114,596.46/171,890.90 = 47,126.16/x
  3. Step 3: Cross multiply
    114,596.46x = 171,890.90 × 47,126.16
  4. Step 4: Simplify right side
    114,596.46x = 8,100,558,055.94
  5. Step 5: Solve for x
    x = 8,100,558,055.94/114,596.46
  6. Step 6: Final answer
    x = 70,687.68

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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.