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Finding the Fourth Proportional to 31,599.54, 47,362.84 and 11,865.50

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Solution

The fourth proportional to 31,599.54, 47,362.84 and 11,865.50 is: 17,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.54 : 47,362.84 = 11,865.50 : x
  2. Step 2: Convert to fraction form
    31,599.54/47,362.84 = 11,865.50/x
  3. Step 3: Cross multiply
    31,599.54x = 47,362.84 × 11,865.50
  4. Step 4: Simplify right side
    31,599.54x = 561,983,778.02
  5. Step 5: Solve for x
    x = 561,983,778.02/31,599.54
  6. Step 6: Final answer
    x = 17,784.56

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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.