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Finding the Fourth Proportional to 50,152, 75,232.56 and 13,216

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Solution

The fourth proportional to 50,152, 75,232.56 and 13,216 is: 19,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,152 : 75,232.56 = 13,216 : x
  2. Step 2: Convert to fraction form
    50,152/75,232.56 = 13,216/x
  3. Step 3: Cross multiply
    50,152x = 75,232.56 × 13,216
  4. Step 4: Simplify right side
    50,152x = 994,273,512.96
  5. Step 5: Solve for x
    x = 994,273,512.96/50,152
  6. Step 6: Final answer
    x = 19,825.20

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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.