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Finding the Fourth Proportional to 31,441.58, 47,164.05 and 8,068.22

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Solution

The fourth proportional to 31,441.58, 47,164.05 and 8,068.22 is: 12,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,441.58 : 47,164.05 = 8,068.22 : x
  2. Step 2: Convert to fraction form
    31,441.58/47,164.05 = 8,068.22/x
  3. Step 3: Cross multiply
    31,441.58x = 47,164.05 × 8,068.22
  4. Step 4: Simplify right side
    31,441.58x = 380,529,931.49
  5. Step 5: Solve for x
    x = 380,529,931.49/31,441.58
  6. Step 6: Final answer
    x = 12,102.76

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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.