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Finding the Fourth Proportional to 31,149.41, 46,696.32 and 11,423.39

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Solution

The fourth proportional to 31,149.41, 46,696.32 and 11,423.39 is: 17,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.41 : 46,696.32 = 11,423.39 : x
  2. Step 2: Convert to fraction form
    31,149.41/46,696.32 = 11,423.39/x
  3. Step 3: Cross multiply
    31,149.41x = 46,696.32 × 11,423.39
  4. Step 4: Simplify right side
    31,149.41x = 533,430,041.44
  5. Step 5: Solve for x
    x = 533,430,041.44/31,149.41
  6. Step 6: Final answer
    x = 17,124.89

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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.