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Finding the Fourth Proportional to 38,415.83, 53,009.97 and 21,418.49

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Solution

The fourth proportional to 38,415.83, 53,009.97 and 21,418.49 is: 29,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.83 : 53,009.97 = 21,418.49 : x
  2. Step 2: Convert to fraction form
    38,415.83/53,009.97 = 21,418.49/x
  3. Step 3: Cross multiply
    38,415.83x = 53,009.97 × 21,418.49
  4. Step 4: Simplify right side
    38,415.83x = 1,135,393,247.30
  5. Step 5: Solve for x
    x = 1,135,393,247.30/38,415.83
  6. Step 6: Final answer
    x = 29,555.35

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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.