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Finding the Fourth Proportional to 31,435.35, 47,153.03 and 8,061.80

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Solution

The fourth proportional to 31,435.35, 47,153.03 and 8,061.80 is: 12,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.35 : 47,153.03 = 8,061.80 : x
  2. Step 2: Convert to fraction form
    31,435.35/47,153.03 = 8,061.80/x
  3. Step 3: Cross multiply
    31,435.35x = 47,153.03 × 8,061.80
  4. Step 4: Simplify right side
    31,435.35x = 380,138,021.18
  5. Step 5: Solve for x
    x = 380,138,021.18/31,435.35
  6. Step 6: Final answer
    x = 12,092.69

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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.