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Finding the Fourth Proportional to 38,415.87, 53,010.02 and 21,418.52

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Solution

The fourth proportional to 38,415.87, 53,010.02 and 21,418.52 is: 29,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.87 : 53,010.02 = 21,418.52 : x
  2. Step 2: Convert to fraction form
    38,415.87/53,010.02 = 21,418.52/x
  3. Step 3: Cross multiply
    38,415.87x = 53,010.02 × 21,418.52
  4. Step 4: Simplify right side
    38,415.87x = 1,135,395,801.43
  5. Step 5: Solve for x
    x = 1,135,395,801.43/38,415.87
  6. Step 6: Final answer
    x = 29,555.38

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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.