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Finding the Fourth Proportional to 30,069.34, 41,494.27 and 16,457.08

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Solution

The fourth proportional to 30,069.34, 41,494.27 and 16,457.08 is: 22,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069.34 : 41,494.27 = 16,457.08 : x
  2. Step 2: Convert to fraction form
    30,069.34/41,494.27 = 16,457.08/x
  3. Step 3: Cross multiply
    30,069.34x = 41,494.27 × 16,457.08
  4. Step 4: Simplify right side
    30,069.34x = 682,874,520.93
  5. Step 5: Solve for x
    x = 682,874,520.93/30,069.34
  6. Step 6: Final answer
    x = 22,709.99

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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.