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Finding the Fourth Proportional to 52,252.22, 72,109.14 and 31,827.26

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Solution

The fourth proportional to 52,252.22, 72,109.14 and 31,827.26 is: 43,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,252.22 : 72,109.14 = 31,827.26 : x
  2. Step 2: Convert to fraction form
    52,252.22/72,109.14 = 31,827.26/x
  3. Step 3: Cross multiply
    52,252.22x = 72,109.14 × 31,827.26
  4. Step 4: Simplify right side
    52,252.22x = 2,295,036,408.08
  5. Step 5: Solve for x
    x = 2,295,036,408.08/52,252.22
  6. Step 6: Final answer
    x = 43,922.27

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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.