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Finding the Fourth Proportional to 32,755.94, 49,133.72 and 9,382.38

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Solution

The fourth proportional to 32,755.94, 49,133.72 and 9,382.38 is: 14,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755.94 : 49,133.72 = 9,382.38 : x
  2. Step 2: Convert to fraction form
    32,755.94/49,133.72 = 9,382.38/x
  3. Step 3: Cross multiply
    32,755.94x = 49,133.72 × 9,382.38
  4. Step 4: Simplify right side
    32,755.94x = 460,991,231.85
  5. Step 5: Solve for x
    x = 460,991,231.85/32,755.94
  6. Step 6: Final answer
    x = 14,073.52

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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.