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Finding the Fourth Proportional to 38,402.29, 52,995.38 and 21,407.61

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Solution

The fourth proportional to 38,402.29, 52,995.38 and 21,407.61 is: 29,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.29 : 52,995.38 = 21,407.61 : x
  2. Step 2: Convert to fraction form
    38,402.29/52,995.38 = 21,407.61/x
  3. Step 3: Cross multiply
    38,402.29x = 52,995.38 × 21,407.61
  4. Step 4: Simplify right side
    38,402.29x = 1,134,504,340.86
  5. Step 5: Solve for x
    x = 1,134,504,340.86/38,402.29
  6. Step 6: Final answer
    x = 29,542.63

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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.