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Finding the Fourth Proportional to 31,133.62, 46,696.98 and 11,142.31

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Solution

The fourth proportional to 31,133.62, 46,696.98 and 11,142.31 is: 16,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.62 : 46,696.98 = 11,142.31 : x
  2. Step 2: Convert to fraction form
    31,133.62/46,696.98 = 11,142.31/x
  3. Step 3: Cross multiply
    31,133.62x = 46,696.98 × 11,142.31
  4. Step 4: Simplify right side
    31,133.62x = 520,312,227.22
  5. Step 5: Solve for x
    x = 520,312,227.22/31,133.62
  6. Step 6: Final answer
    x = 16,712.23

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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.