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Finding the Fourth Proportional to 114,054.82, 171,105 and 35,166.04

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Solution

The fourth proportional to 114,054.82, 171,105 and 35,166.04 is: 52,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,054.82 : 171,105 = 35,166.04 : x
  2. Step 2: Convert to fraction form
    114,054.82/171,105 = 35,166.04/x
  3. Step 3: Cross multiply
    114,054.82x = 171,105 × 35,166.04
  4. Step 4: Simplify right side
    114,054.82x = 6,017,085,274.20
  5. Step 5: Solve for x
    x = 6,017,085,274.20/114,054.82
  6. Step 6: Final answer
    x = 52,756.08

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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.