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Finding the Fourth Proportional to 40,755.72, 61,131.96 and 23,898

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Solution

The fourth proportional to 40,755.72, 61,131.96 and 23,898 is: 35,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,755.72 : 61,131.96 = 23,898 : x
  2. Step 2: Convert to fraction form
    40,755.72/61,131.96 = 23,898/x
  3. Step 3: Cross multiply
    40,755.72x = 61,131.96 × 23,898
  4. Step 4: Simplify right side
    40,755.72x = 1,460,931,580.08
  5. Step 5: Solve for x
    x = 1,460,931,580.08/40,755.72
  6. Step 6: Final answer
    x = 35,846.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.