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Finding the Fourth Proportional to 36,512.71, 54,748.10 and 14,300.08

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Solution

The fourth proportional to 36,512.71, 54,748.10 and 14,300.08 is: 21,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512.71 : 54,748.10 = 14,300.08 : x
  2. Step 2: Convert to fraction form
    36,512.71/54,748.10 = 14,300.08/x
  3. Step 3: Cross multiply
    36,512.71x = 54,748.10 × 14,300.08
  4. Step 4: Simplify right side
    36,512.71x = 782,902,108.73
  5. Step 5: Solve for x
    x = 782,902,108.73/36,512.71
  6. Step 6: Final answer
    x = 21,441.91

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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.