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Finding the Fourth Proportional to 47,257.50, 70,886.52 and 12,194.76

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Solution

The fourth proportional to 47,257.50, 70,886.52 and 12,194.76 is: 18,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257.50 : 70,886.52 = 12,194.76 : x
  2. Step 2: Convert to fraction form
    47,257.50/70,886.52 = 12,194.76/x
  3. Step 3: Cross multiply
    47,257.50x = 70,886.52 × 12,194.76
  4. Step 4: Simplify right side
    47,257.50x = 864,444,098.64
  5. Step 5: Solve for x
    x = 864,444,098.64/47,257.50
  6. Step 6: Final answer
    x = 18,292.21

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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.