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Finding the Fourth Proportional to 51,435.36, 77,114.16 and 41,041.44

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Solution

The fourth proportional to 51,435.36, 77,114.16 and 41,041.44 is: 61,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,435.36 : 77,114.16 = 41,041.44 : x
  2. Step 2: Convert to fraction form
    51,435.36/77,114.16 = 41,041.44/x
  3. Step 3: Cross multiply
    51,435.36x = 77,114.16 × 41,041.44
  4. Step 4: Simplify right side
    51,435.36x = 3,164,876,170.79
  5. Step 5: Solve for x
    x = 3,164,876,170.79/51,435.36
  6. Step 6: Final answer
    x = 61,531.14

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