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Finding the Fourth Proportional to 51,627.60, 77,268.60 and 36,075.60

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Solution

The fourth proportional to 51,627.60, 77,268.60 and 36,075.60 is: 53,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,627.60 : 77,268.60 = 36,075.60 : x
  2. Step 2: Convert to fraction form
    51,627.60/77,268.60 = 36,075.60/x
  3. Step 3: Cross multiply
    51,627.60x = 77,268.60 × 36,075.60
  4. Step 4: Simplify right side
    51,627.60x = 2,787,511,106.16
  5. Step 5: Solve for x
    x = 2,787,511,106.16/51,627.60
  6. Step 6: Final answer
    x = 53,992.65

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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.