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Finding the Fourth Proportional to 31,688.89, 47,529.68 and 8,317.15

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Solution

The fourth proportional to 31,688.89, 47,529.68 and 8,317.15 is: 12,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,688.89 : 47,529.68 = 8,317.15 : x
  2. Step 2: Convert to fraction form
    31,688.89/47,529.68 = 8,317.15/x
  3. Step 3: Cross multiply
    31,688.89x = 47,529.68 × 8,317.15
  4. Step 4: Simplify right side
    31,688.89x = 395,311,478.01
  5. Step 5: Solve for x
    x = 395,311,478.01/31,688.89
  6. Step 6: Final answer
    x = 12,474.77

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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.