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Finding the Fourth Proportional to 49,114.80, 73,672.12 and 12,178.80

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Solution

The fourth proportional to 49,114.80, 73,672.12 and 12,178.80 is: 18,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,114.80 : 73,672.12 = 12,178.80 : x
  2. Step 2: Convert to fraction form
    49,114.80/73,672.12 = 12,178.80/x
  3. Step 3: Cross multiply
    49,114.80x = 73,672.12 × 12,178.80
  4. Step 4: Simplify right side
    49,114.80x = 897,238,015.06
  5. Step 5: Solve for x
    x = 897,238,015.06/49,114.80
  6. Step 6: Final answer
    x = 18,268.18

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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.