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Finding the Fourth Proportional to 31,778.17, 47,667.53 and 8,085.74

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Solution

The fourth proportional to 31,778.17, 47,667.53 and 8,085.74 is: 12,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.17 : 47,667.53 = 8,085.74 : x
  2. Step 2: Convert to fraction form
    31,778.17/47,667.53 = 8,085.74/x
  3. Step 3: Cross multiply
    31,778.17x = 47,667.53 × 8,085.74
  4. Step 4: Simplify right side
    31,778.17x = 385,427,254.02
  5. Step 5: Solve for x
    x = 385,427,254.02/31,778.17
  6. Step 6: Final answer
    x = 12,128.68

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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.