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Finding the Fourth Proportional to 32,383, 44,707.98 and 21,224.44

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Solution

The fourth proportional to 32,383, 44,707.98 and 21,224.44 is: 29,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383 : 44,707.98 = 21,224.44 : x
  2. Step 2: Convert to fraction form
    32,383/44,707.98 = 21,224.44/x
  3. Step 3: Cross multiply
    32,383x = 44,707.98 × 21,224.44
  4. Step 4: Simplify right side
    32,383x = 948,901,839.03
  5. Step 5: Solve for x
    x = 948,901,839.03/32,383
  6. Step 6: Final answer
    x = 29,302.47

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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.