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Finding the Fourth Proportional to 37,184.94, 55,784.30 and 12,232.22

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Solution

The fourth proportional to 37,184.94, 55,784.30 and 12,232.22 is: 18,350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.94 : 55,784.30 = 12,232.22 : x
  2. Step 2: Convert to fraction form
    37,184.94/55,784.30 = 12,232.22/x
  3. Step 3: Cross multiply
    37,184.94x = 55,784.30 × 12,232.22
  4. Step 4: Simplify right side
    37,184.94x = 682,365,490.06
  5. Step 5: Solve for x
    x = 682,365,490.06/37,184.94
  6. Step 6: Final answer
    x = 18,350.59

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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.