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Finding the Fourth Proportional to 51,452.36, 77,178.56 and 33,918.10

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Solution

The fourth proportional to 51,452.36, 77,178.56 and 33,918.10 is: 50,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,452.36 : 77,178.56 = 33,918.10 : x
  2. Step 2: Convert to fraction form
    51,452.36/77,178.56 = 33,918.10/x
  3. Step 3: Cross multiply
    51,452.36x = 77,178.56 × 33,918.10
  4. Step 4: Simplify right side
    51,452.36x = 2,617,750,115.94
  5. Step 5: Solve for x
    x = 2,617,750,115.94/51,452.36
  6. Step 6: Final answer
    x = 50,877.16

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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.