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Finding the Fourth Proportional to 38,402.50, 52,995.97 and 21,635.54

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Solution

The fourth proportional to 38,402.50, 52,995.97 and 21,635.54 is: 29,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.50 : 52,995.97 = 21,635.54 : x
  2. Step 2: Convert to fraction form
    38,402.50/52,995.97 = 21,635.54/x
  3. Step 3: Cross multiply
    38,402.50x = 52,995.97 × 21,635.54
  4. Step 4: Simplify right side
    38,402.50x = 1,146,596,428.77
  5. Step 5: Solve for x
    x = 1,146,596,428.77/38,402.50
  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.