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Finding the Fourth Proportional to 114,696.81, 172,045.22 and 35,817.19

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Solution

The fourth proportional to 114,696.81, 172,045.22 and 35,817.19 is: 53,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.81 : 172,045.22 = 35,817.19 : x
  2. Step 2: Convert to fraction form
    114,696.81/172,045.22 = 35,817.19/x
  3. Step 3: Cross multiply
    114,696.81x = 172,045.22 × 35,817.19
  4. Step 4: Simplify right side
    114,696.81x = 6,162,175,724.13
  5. Step 5: Solve for x
    x = 6,162,175,724.13/114,696.81
  6. Step 6: Final answer
    x = 53,725.78

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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.