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Finding the Fourth Proportional to 122,846.71, 184,269.46 and 47,974.46

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Solution

The fourth proportional to 122,846.71, 184,269.46 and 47,974.46 is: 71,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,846.71 : 184,269.46 = 47,974.46 : x
  2. Step 2: Convert to fraction form
    122,846.71/184,269.46 = 47,974.46/x
  3. Step 3: Cross multiply
    122,846.71x = 184,269.46 × 47,974.46
  4. Step 4: Simplify right side
    122,846.71x = 8,840,227,837.99
  5. Step 5: Solve for x
    x = 8,840,227,837.99/122,846.71
  6. Step 6: Final answer
    x = 71,961.45

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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.