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Finding the Fourth Proportional to 50,643, 75,771.75 and 30,578.64

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Solution

The fourth proportional to 50,643, 75,771.75 and 30,578.64 is: 45,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643 : 75,771.75 = 30,578.64 : x
  2. Step 2: Convert to fraction form
    50,643/75,771.75 = 30,578.64/x
  3. Step 3: Cross multiply
    50,643x = 75,771.75 × 30,578.64
  4. Step 4: Simplify right side
    50,643x = 2,316,997,065.42
  5. Step 5: Solve for x
    x = 2,316,997,065.42/50,643
  6. Step 6: Final answer
    x = 45,751.58

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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.