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Finding the Fourth Proportional to 114,544.94, 171,776.24 and 39,644.78

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Solution

The fourth proportional to 114,544.94, 171,776.24 and 39,644.78 is: 59,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544.94 : 171,776.24 = 39,644.78 : x
  2. Step 2: Convert to fraction form
    114,544.94/171,776.24 = 39,644.78/x
  3. Step 3: Cross multiply
    114,544.94x = 171,776.24 × 39,644.78
  4. Step 4: Simplify right side
    114,544.94x = 6,810,031,045.80
  5. Step 5: Solve for x
    x = 6,810,031,045.80/114,544.94
  6. Step 6: Final answer
    x = 59,452.92

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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.