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Finding the Fourth Proportional to 31,833.95, 47,750.87 and 8,460.39

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Solution

The fourth proportional to 31,833.95, 47,750.87 and 8,460.39 is: 12,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.95 : 47,750.87 = 8,460.39 : x
  2. Step 2: Convert to fraction form
    31,833.95/47,750.87 = 8,460.39/x
  3. Step 3: Cross multiply
    31,833.95x = 47,750.87 × 8,460.39
  4. Step 4: Simplify right side
    31,833.95x = 403,990,983.04
  5. Step 5: Solve for x
    x = 403,990,983.04/31,833.95
  6. Step 6: Final answer
    x = 12,690.57

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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.