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Finding the Fourth Proportional to 114,696.75, 172,051.61 and 40,824.75

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Solution

The fourth proportional to 114,696.75, 172,051.61 and 40,824.75 is: 61,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.75 : 172,051.61 = 40,824.75 : x
  2. Step 2: Convert to fraction form
    114,696.75/172,051.61 = 40,824.75/x
  3. Step 3: Cross multiply
    114,696.75x = 172,051.61 × 40,824.75
  4. Step 4: Simplify right side
    114,696.75x = 7,023,963,761.22
  5. Step 5: Solve for x
    x = 7,023,963,761.22/114,696.75
  6. Step 6: Final answer
    x = 61,239.43

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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.