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Finding the Fourth Proportional to 51,696.66, 77,495.75 and 16,611.69

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Solution

The fourth proportional to 51,696.66, 77,495.75 and 16,611.69 is: 24,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,696.66 : 77,495.75 = 16,611.69 : x
  2. Step 2: Convert to fraction form
    51,696.66/77,495.75 = 16,611.69/x
  3. Step 3: Cross multiply
    51,696.66x = 77,495.75 × 16,611.69
  4. Step 4: Simplify right side
    51,696.66x = 1,287,335,292.26
  5. Step 5: Solve for x
    x = 1,287,335,292.26/51,696.66
  6. Step 6: Final answer
    x = 24,901.71

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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.