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Finding the Fourth Proportional to 31,027.54, 46,528.56 and 12,305

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Solution

The fourth proportional to 31,027.54, 46,528.56 and 12,305 is: 18,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.54 : 46,528.56 = 12,305 : x
  2. Step 2: Convert to fraction form
    31,027.54/46,528.56 = 12,305/x
  3. Step 3: Cross multiply
    31,027.54x = 46,528.56 × 12,305
  4. Step 4: Simplify right side
    31,027.54x = 572,533,930.80
  5. Step 5: Solve for x
    x = 572,533,930.80/31,027.54
  6. Step 6: Final answer
    x = 18,452.44

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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.