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Finding the Fourth Proportional to 38,307.90, 52,857 and 22,389.24

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Solution

The fourth proportional to 38,307.90, 52,857 and 22,389.24 is: 30,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,307.90 : 52,857 = 22,389.24 : x
  2. Step 2: Convert to fraction form
    38,307.90/52,857 = 22,389.24/x
  3. Step 3: Cross multiply
    38,307.90x = 52,857 × 22,389.24
  4. Step 4: Simplify right side
    38,307.90x = 1,183,428,058.68
  5. Step 5: Solve for x
    x = 1,183,428,058.68/38,307.90
  6. Step 6: Final answer
    x = 30,892.53

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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.