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Finding the Fourth Proportional to 31,688.74, 47,528.79 and 8,313.22

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Solution

The fourth proportional to 31,688.74, 47,528.79 and 8,313.22 is: 12,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,688.74 : 47,528.79 = 8,313.22 : x
  2. Step 2: Convert to fraction form
    31,688.74/47,528.79 = 8,313.22/x
  3. Step 3: Cross multiply
    31,688.74x = 47,528.79 × 8,313.22
  4. Step 4: Simplify right side
    31,688.74x = 395,117,287.60
  5. Step 5: Solve for x
    x = 395,117,287.60/31,688.74
  6. Step 6: Final answer
    x = 12,468.70

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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.