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Finding the Fourth Proportional to 30,941.34, 46,415.12 and 11,215.41

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Solution

The fourth proportional to 30,941.34, 46,415.12 and 11,215.41 is: 16,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.34 : 46,415.12 = 11,215.41 : x
  2. Step 2: Convert to fraction form
    30,941.34/46,415.12 = 11,215.41/x
  3. Step 3: Cross multiply
    30,941.34x = 46,415.12 × 11,215.41
  4. Step 4: Simplify right side
    30,941.34x = 520,564,544.92
  5. Step 5: Solve for x
    x = 520,564,544.92/30,941.34
  6. Step 6: Final answer
    x = 16,824.24

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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.