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Finding the Fourth Proportional to 36,152.94, 54,229.41 and 9,857.10

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Solution

The fourth proportional to 36,152.94, 54,229.41 and 9,857.10 is: 14,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,152.94 : 54,229.41 = 9,857.10 : x
  2. Step 2: Convert to fraction form
    36,152.94/54,229.41 = 9,857.10/x
  3. Step 3: Cross multiply
    36,152.94x = 54,229.41 × 9,857.10
  4. Step 4: Simplify right side
    36,152.94x = 534,544,717.31
  5. Step 5: Solve for x
    x = 534,544,717.31/36,152.94
  6. Step 6: Final answer
    x = 14,785.65

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