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Finding the Fourth Proportional to 30,866.14, 46,299.21 and 7,492.42

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Solution

The fourth proportional to 30,866.14, 46,299.21 and 7,492.42 is: 11,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.14 : 46,299.21 = 7,492.42 : x
  2. Step 2: Convert to fraction form
    30,866.14/46,299.21 = 7,492.42/x
  3. Step 3: Cross multiply
    30,866.14x = 46,299.21 × 7,492.42
  4. Step 4: Simplify right side
    30,866.14x = 346,893,126.99
  5. Step 5: Solve for x
    x = 346,893,126.99/30,866.14
  6. Step 6: Final answer
    x = 11,238.63

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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.