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Finding the Fourth Proportional to 38,175.25, 52,686.71 and 21,408.25

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Solution

The fourth proportional to 38,175.25, 52,686.71 and 21,408.25 is: 29,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175.25 : 52,686.71 = 21,408.25 : x
  2. Step 2: Convert to fraction form
    38,175.25/52,686.71 = 21,408.25/x
  3. Step 3: Cross multiply
    38,175.25x = 52,686.71 × 21,408.25
  4. Step 4: Simplify right side
    38,175.25x = 1,127,930,259.36
  5. Step 5: Solve for x
    x = 1,127,930,259.36/38,175.25
  6. Step 6: Final answer
    x = 29,546.11

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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.