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Finding the Fourth Proportional to 50,878, 70,211.64 and 28,522

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Solution

The fourth proportional to 50,878, 70,211.64 and 28,522 is: 39,360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878 : 70,211.64 = 28,522 : x
  2. Step 2: Convert to fraction form
    50,878/70,211.64 = 28,522/x
  3. Step 3: Cross multiply
    50,878x = 70,211.64 × 28,522
  4. Step 4: Simplify right side
    50,878x = 2,002,576,396.08
  5. Step 5: Solve for x
    x = 2,002,576,396.08/50,878
  6. Step 6: Final answer
    x = 39,360.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.