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Finding the Fourth Proportional to 30,861.31, 46,294.13 and 15,274.75

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Solution

The fourth proportional to 30,861.31, 46,294.13 and 15,274.75 is: 22,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.31 : 46,294.13 = 15,274.75 : x
  2. Step 2: Convert to fraction form
    30,861.31/46,294.13 = 15,274.75/x
  3. Step 3: Cross multiply
    30,861.31x = 46,294.13 × 15,274.75
  4. Step 4: Simplify right side
    30,861.31x = 707,131,262.22
  5. Step 5: Solve for x
    x = 707,131,262.22/30,861.31
  6. Step 6: Final answer
    x = 22,913.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.