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Finding the Fourth Proportional to 31,485.52, 47,228.56 and 8,111.28

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Solution

The fourth proportional to 31,485.52, 47,228.56 and 8,111.28 is: 12,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.52 : 47,228.56 = 8,111.28 : x
  2. Step 2: Convert to fraction form
    31,485.52/47,228.56 = 8,111.28/x
  3. Step 3: Cross multiply
    31,485.52x = 47,228.56 × 8,111.28
  4. Step 4: Simplify right side
    31,485.52x = 383,084,074.16
  5. Step 5: Solve for x
    x = 383,084,074.16/31,485.52
  6. Step 6: Final answer
    x = 12,166.99

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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.