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Finding the Fourth Proportional to 47,076.12, 70,614.12 and 12,015.78

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Solution

The fourth proportional to 47,076.12, 70,614.12 and 12,015.78 is: 18,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076.12 : 70,614.12 = 12,015.78 : x
  2. Step 2: Convert to fraction form
    47,076.12/70,614.12 = 12,015.78/x
  3. Step 3: Cross multiply
    47,076.12x = 70,614.12 × 12,015.78
  4. Step 4: Simplify right side
    47,076.12x = 848,483,730.81
  5. Step 5: Solve for x
    x = 848,483,730.81/47,076.12
  6. Step 6: Final answer
    x = 18,023.65

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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.