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Finding the Fourth Proportional to 31,000.52, 46,497.06 and 11,266.48

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Solution

The fourth proportional to 31,000.52, 46,497.06 and 11,266.48 is: 16,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.52 : 46,497.06 = 11,266.48 : x
  2. Step 2: Convert to fraction form
    31,000.52/46,497.06 = 11,266.48/x
  3. Step 3: Cross multiply
    31,000.52x = 46,497.06 × 11,266.48
  4. Step 4: Simplify right side
    31,000.52x = 523,858,196.55
  5. Step 5: Solve for x
    x = 523,858,196.55/31,000.52
  6. Step 6: Final answer
    x = 16,898.37

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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.