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Finding the Fourth Proportional to 31,756.36, 47,636.86 and 10,696.44

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Solution

The fourth proportional to 31,756.36, 47,636.86 and 10,696.44 is: 16,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.36 : 47,636.86 = 10,696.44 : x
  2. Step 2: Convert to fraction form
    31,756.36/47,636.86 = 10,696.44/x
  3. Step 3: Cross multiply
    31,756.36x = 47,636.86 × 10,696.44
  4. Step 4: Simplify right side
    31,756.36x = 509,544,814.78
  5. Step 5: Solve for x
    x = 509,544,814.78/31,756.36
  6. Step 6: Final answer
    x = 16,045.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.