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Finding the Fourth Proportional to 31,092.66, 46,630.80 and 12,371.94

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Solution

The fourth proportional to 31,092.66, 46,630.80 and 12,371.94 is: 18,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.66 : 46,630.80 = 12,371.94 : x
  2. Step 2: Convert to fraction form
    31,092.66/46,630.80 = 12,371.94/x
  3. Step 3: Cross multiply
    31,092.66x = 46,630.80 × 12,371.94
  4. Step 4: Simplify right side
    31,092.66x = 576,913,459.75
  5. Step 5: Solve for x
    x = 576,913,459.75/31,092.66
  6. Step 6: Final answer
    x = 18,554.65

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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.