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Finding the Fourth Proportional to 74,144.33, 102,319.22 and 40,153.08

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Solution

The fourth proportional to 74,144.33, 102,319.22 and 40,153.08 is: 55,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,144.33 : 102,319.22 = 40,153.08 : x
  2. Step 2: Convert to fraction form
    74,144.33/102,319.22 = 40,153.08/x
  3. Step 3: Cross multiply
    74,144.33x = 102,319.22 × 40,153.08
  4. Step 4: Simplify right side
    74,144.33x = 4,108,431,826.20
  5. Step 5: Solve for x
    x = 4,108,431,826.20/74,144.33
  6. Step 6: Final answer
    x = 55,411.27

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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.