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Finding the Fourth Proportional to 47,059.06, 70,599.12 and 15,893.50

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Solution

The fourth proportional to 47,059.06, 70,599.12 and 15,893.50 is: 23,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,059.06 : 70,599.12 = 15,893.50 : x
  2. Step 2: Convert to fraction form
    47,059.06/70,599.12 = 15,893.50/x
  3. Step 3: Cross multiply
    47,059.06x = 70,599.12 × 15,893.50
  4. Step 4: Simplify right side
    47,059.06x = 1,122,067,113.72
  5. Step 5: Solve for x
    x = 1,122,067,113.72/47,059.06
  6. Step 6: Final answer
    x = 23,843.81

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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.