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Finding the Fourth Proportional to 38,000.16, 56,857.68 and 36,000

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Solution

The fourth proportional to 38,000.16, 56,857.68 and 36,000 is: 53,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.16 : 56,857.68 = 36,000 : x
  2. Step 2: Convert to fraction form
    38,000.16/56,857.68 = 36,000/x
  3. Step 3: Cross multiply
    38,000.16x = 56,857.68 × 36,000
  4. Step 4: Simplify right side
    38,000.16x = 2,046,876,480
  5. Step 5: Solve for x
    x = 2,046,876,480/38,000.16
  6. Step 6: Final answer
    x = 53,864.94

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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.