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Finding the Fourth Proportional to 50,482.86, 75,724.28 and 17,185.78

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Solution

The fourth proportional to 50,482.86, 75,724.28 and 17,185.78 is: 25,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482.86 : 75,724.28 = 17,185.78 : x
  2. Step 2: Convert to fraction form
    50,482.86/75,724.28 = 17,185.78/x
  3. Step 3: Cross multiply
    50,482.86x = 75,724.28 × 17,185.78
  4. Step 4: Simplify right side
    50,482.86x = 1,301,380,816.74
  5. Step 5: Solve for x
    x = 1,301,380,816.74/50,482.86
  6. Step 6: Final answer
    x = 25,778.67

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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.