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Finding the Fourth Proportional to 33,638.70, 46,401.17 and 21,541.80

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Solution

The fourth proportional to 33,638.70, 46,401.17 and 21,541.80 is: 29,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.70 : 46,401.17 = 21,541.80 : x
  2. Step 2: Convert to fraction form
    33,638.70/46,401.17 = 21,541.80/x
  3. Step 3: Cross multiply
    33,638.70x = 46,401.17 × 21,541.80
  4. Step 4: Simplify right side
    33,638.70x = 999,564,616.20
  5. Step 5: Solve for x
    x = 999,564,616.20/33,638.70
  6. Step 6: Final answer
    x = 29,714.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.