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Finding the Fourth Proportional to 114,544.84, 171,776.04 and 39,644.64

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Solution

The fourth proportional to 114,544.84, 171,776.04 and 39,644.64 is: 59,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544.84 : 171,776.04 = 39,644.64 : x
  2. Step 2: Convert to fraction form
    114,544.84/171,776.04 = 39,644.64/x
  3. Step 3: Cross multiply
    114,544.84x = 171,776.04 × 39,644.64
  4. Step 4: Simplify right side
    114,544.84x = 6,809,999,266.43
  5. Step 5: Solve for x
    x = 6,809,999,266.43/114,544.84
  6. Step 6: Final answer
    x = 59,452.69

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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.