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Finding the Fourth Proportional to 28,652.44, 39,544.38 and 16,078

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Solution

The fourth proportional to 28,652.44, 39,544.38 and 16,078 is: 22,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,652.44 : 39,544.38 = 16,078 : x
  2. Step 2: Convert to fraction form
    28,652.44/39,544.38 = 16,078/x
  3. Step 3: Cross multiply
    28,652.44x = 39,544.38 × 16,078
  4. Step 4: Simplify right side
    28,652.44x = 635,794,541.64
  5. Step 5: Solve for x
    x = 635,794,541.64/28,652.44
  6. Step 6: Final answer
    x = 22,189.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.