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Finding the Fourth Proportional to 36,462.76, 54,689.16 and 14,291.63

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Solution

The fourth proportional to 36,462.76, 54,689.16 and 14,291.63 is: 21,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462.76 : 54,689.16 = 14,291.63 : x
  2. Step 2: Convert to fraction form
    36,462.76/54,689.16 = 14,291.63/x
  3. Step 3: Cross multiply
    36,462.76x = 54,689.16 × 14,291.63
  4. Step 4: Simplify right side
    36,462.76x = 781,597,239.73
  5. Step 5: Solve for x
    x = 781,597,239.73/36,462.76
  6. Step 6: Final answer
    x = 21,435.49

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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.