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Finding the Fourth Proportional to 38,021.86, 52,470.30 and 21,254.86

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Solution

The fourth proportional to 38,021.86, 52,470.30 and 21,254.86 is: 29,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,021.86 : 52,470.30 = 21,254.86 : x
  2. Step 2: Convert to fraction form
    38,021.86/52,470.30 = 21,254.86/x
  3. Step 3: Cross multiply
    38,021.86x = 52,470.30 × 21,254.86
  4. Step 4: Simplify right side
    38,021.86x = 1,115,248,880.66
  5. Step 5: Solve for x
    x = 1,115,248,880.66/38,021.86
  6. Step 6: Final answer
    x = 29,331.78

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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.