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Finding the Fourth Proportional to 31,833.70, 47,750.49 and 8,460.14

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Solution

The fourth proportional to 31,833.70, 47,750.49 and 8,460.14 is: 12,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.70 : 47,750.49 = 8,460.14 : x
  2. Step 2: Convert to fraction form
    31,833.70/47,750.49 = 8,460.14/x
  3. Step 3: Cross multiply
    31,833.70x = 47,750.49 × 8,460.14
  4. Step 4: Simplify right side
    31,833.70x = 403,975,591.72
  5. Step 5: Solve for x
    x = 403,975,591.72/31,833.70
  6. Step 6: Final answer
    x = 12,690.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.