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Finding the Fourth Proportional to 75,978.24, 113,980.32 and 33,873.60

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Solution

The fourth proportional to 75,978.24, 113,980.32 and 33,873.60 is: 50,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978.24 : 113,980.32 = 33,873.60 : x
  2. Step 2: Convert to fraction form
    75,978.24/113,980.32 = 33,873.60/x
  3. Step 3: Cross multiply
    75,978.24x = 113,980.32 × 33,873.60
  4. Step 4: Simplify right side
    75,978.24x = 3,860,923,767.55
  5. Step 5: Solve for x
    x = 3,860,923,767.55/75,978.24
  6. Step 6: Final answer
    x = 50,816.18

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1.5x scale

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.