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Finding the Fourth Proportional to 47,141.64, 70,712.44 and 13,861.98

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Solution

The fourth proportional to 47,141.64, 70,712.44 and 13,861.98 is: 20,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,141.64 : 70,712.44 = 13,861.98 : x
  2. Step 2: Convert to fraction form
    47,141.64/70,712.44 = 13,861.98/x
  3. Step 3: Cross multiply
    47,141.64x = 70,712.44 × 13,861.98
  4. Step 4: Simplify right side
    47,141.64x = 980,214,359.72
  5. Step 5: Solve for x
    x = 980,214,359.72/47,141.64
  6. Step 6: Final answer
    x = 20,792.96

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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.