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Finding the Fourth Proportional to 36,523.52, 54,772.32 and 14,336

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Solution

The fourth proportional to 36,523.52, 54,772.32 and 14,336 is: 21,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523.52 : 54,772.32 = 14,336 : x
  2. Step 2: Convert to fraction form
    36,523.52/54,772.32 = 14,336/x
  3. Step 3: Cross multiply
    36,523.52x = 54,772.32 × 14,336
  4. Step 4: Simplify right side
    36,523.52x = 785,215,979.52
  5. Step 5: Solve for x
    x = 785,215,979.52/36,523.52
  6. Step 6: Final answer
    x = 21,498.91

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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.