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Finding the Fourth Proportional to 29,745.89, 41,038 and 18,991.16

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Solution

The fourth proportional to 29,745.89, 41,038 and 18,991.16 is: 26,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745.89 : 41,038 = 18,991.16 : x
  2. Step 2: Convert to fraction form
    29,745.89/41,038 = 18,991.16/x
  3. Step 3: Cross multiply
    29,745.89x = 41,038 × 18,991.16
  4. Step 4: Simplify right side
    29,745.89x = 779,359,224.08
  5. Step 5: Solve for x
    x = 779,359,224.08/29,745.89
  6. Step 6: Final answer
    x = 26,200.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.