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Finding the Fourth Proportional to 50,334.52, 75,512.64 and 15,277

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Solution

The fourth proportional to 50,334.52, 75,512.64 and 15,277 is: 22,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,334.52 : 75,512.64 = 15,277 : x
  2. Step 2: Convert to fraction form
    50,334.52/75,512.64 = 15,277/x
  3. Step 3: Cross multiply
    50,334.52x = 75,512.64 × 15,277
  4. Step 4: Simplify right side
    50,334.52x = 1,153,606,601.28
  5. Step 5: Solve for x
    x = 1,153,606,601.28/50,334.52
  6. Step 6: Final answer
    x = 22,918.80

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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.