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Finding the Fourth Proportional to 47,145.96, 70,707.99 and 13,857.12

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Solution

The fourth proportional to 47,145.96, 70,707.99 and 13,857.12 is: 20,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145.96 : 70,707.99 = 13,857.12 : x
  2. Step 2: Convert to fraction form
    47,145.96/70,707.99 = 13,857.12/x
  3. Step 3: Cross multiply
    47,145.96x = 70,707.99 × 13,857.12
  4. Step 4: Simplify right side
    47,145.96x = 979,809,102.39
  5. Step 5: Solve for x
    x = 979,809,102.39/47,145.96
  6. Step 6: Final answer
    x = 20,782.46

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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.