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Finding the Fourth Proportional to 29,762.57, 41,072.22 and 16,334.06

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Solution

The fourth proportional to 29,762.57, 41,072.22 and 16,334.06 is: 22,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.57 : 41,072.22 = 16,334.06 : x
  2. Step 2: Convert to fraction form
    29,762.57/41,072.22 = 16,334.06/x
  3. Step 3: Cross multiply
    29,762.57x = 41,072.22 × 16,334.06
  4. Step 4: Simplify right side
    29,762.57x = 670,875,900.45
  5. Step 5: Solve for x
    x = 670,875,900.45/29,762.57
  6. Step 6: Final answer
    x = 22,540.92

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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.