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Finding the Fourth Proportional to 38,622.98, 53,304.74 and 21,633.71

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Solution

The fourth proportional to 38,622.98, 53,304.74 and 21,633.71 is: 29,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,622.98 : 53,304.74 = 21,633.71 : x
  2. Step 2: Convert to fraction form
    38,622.98/53,304.74 = 21,633.71/x
  3. Step 3: Cross multiply
    38,622.98x = 53,304.74 × 21,633.71
  4. Step 4: Simplify right side
    38,622.98x = 1,153,179,178.62
  5. Step 5: Solve for x
    x = 1,153,179,178.62/38,622.98
  6. Step 6: Final answer
    x = 29,857.34

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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.