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Finding the Fourth Proportional to 31,383.09, 47,074.61 and 8,009.53

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Solution

The fourth proportional to 31,383.09, 47,074.61 and 8,009.53 is: 12,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.09 : 47,074.61 = 8,009.53 : x
  2. Step 2: Convert to fraction form
    31,383.09/47,074.61 = 8,009.53/x
  3. Step 3: Cross multiply
    31,383.09x = 47,074.61 × 8,009.53
  4. Step 4: Simplify right side
    31,383.09x = 377,045,225.61
  5. Step 5: Solve for x
    x = 377,045,225.61/31,383.09
  6. Step 6: Final answer
    x = 12,014.28

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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.