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Finding the Fourth Proportional to 50,605.20, 75,907.80 and 35,830.80

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Solution

The fourth proportional to 50,605.20, 75,907.80 and 35,830.80 is: 53,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,605.20 : 75,907.80 = 35,830.80 : x
  2. Step 2: Convert to fraction form
    50,605.20/75,907.80 = 35,830.80/x
  3. Step 3: Cross multiply
    50,605.20x = 75,907.80 × 35,830.80
  4. Step 4: Simplify right side
    50,605.20x = 2,719,837,200.24
  5. Step 5: Solve for x
    x = 2,719,837,200.24/50,605.20
  6. Step 6: Final answer
    x = 53,746.20

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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.