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Finding the Fourth Proportional to 38,244.36, 52,776.90 and 21,477

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Solution

The fourth proportional to 38,244.36, 52,776.90 and 21,477 is: 29,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244.36 : 52,776.90 = 21,477 : x
  2. Step 2: Convert to fraction form
    38,244.36/52,776.90 = 21,477/x
  3. Step 3: Cross multiply
    38,244.36x = 52,776.90 × 21,477
  4. Step 4: Simplify right side
    38,244.36x = 1,133,489,481.30
  5. Step 5: Solve for x
    x = 1,133,489,481.30/38,244.36
  6. Step 6: Final answer
    x = 29,638.08

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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.