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Finding the Fourth Proportional to 47,114.25, 70,670.79 and 13,833.12

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Solution

The fourth proportional to 47,114.25, 70,670.79 and 13,833.12 is: 20,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114.25 : 70,670.79 = 13,833.12 : x
  2. Step 2: Convert to fraction form
    47,114.25/70,670.79 = 13,833.12/x
  3. Step 3: Cross multiply
    47,114.25x = 70,670.79 × 13,833.12
  4. Step 4: Simplify right side
    47,114.25x = 977,597,518.56
  5. Step 5: Solve for x
    x = 977,597,518.56/47,114.25
  6. Step 6: Final answer
    x = 20,749.51

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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.