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Finding the Fourth Proportional to 30,755.64, 42,442.92 and 17,327.06

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Solution

The fourth proportional to 30,755.64, 42,442.92 and 17,327.06 is: 23,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.64 : 42,442.92 = 17,327.06 : x
  2. Step 2: Convert to fraction form
    30,755.64/42,442.92 = 17,327.06/x
  3. Step 3: Cross multiply
    30,755.64x = 42,442.92 × 17,327.06
  4. Step 4: Simplify right side
    30,755.64x = 735,411,021.42
  5. Step 5: Solve for x
    x = 735,411,021.42/30,755.64
  6. Step 6: Final answer
    x = 23,911.42

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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.