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Finding the Fourth Proportional to 30,861.56, 46,294.52 and 15,275

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Solution

The fourth proportional to 30,861.56, 46,294.52 and 15,275 is: 22,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.56 : 46,294.52 = 15,275 : x
  2. Step 2: Convert to fraction form
    30,861.56/46,294.52 = 15,275/x
  3. Step 3: Cross multiply
    30,861.56x = 46,294.52 × 15,275
  4. Step 4: Simplify right side
    30,861.56x = 707,148,716.63
  5. Step 5: Solve for x
    x = 707,148,716.63/30,861.56
  6. Step 6: Final answer
    x = 22,913.58

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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.