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Finding the Fourth Proportional to 114,542.19, 171,772.11 and 39,642

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Solution

The fourth proportional to 114,542.19, 171,772.11 and 39,642 is: 59,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,542.19 : 171,772.11 = 39,642 : x
  2. Step 2: Convert to fraction form
    114,542.19/171,772.11 = 39,642/x
  3. Step 3: Cross multiply
    114,542.19x = 171,772.11 × 39,642
  4. Step 4: Simplify right side
    114,542.19x = 6,809,389,984.62
  5. Step 5: Solve for x
    x = 6,809,389,984.62/114,542.19
  6. Step 6: Final answer
    x = 59,448.75

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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.