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Finding the Fourth Proportional to 100,539.18, 150,830.46 and 33,977.84

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Solution

The fourth proportional to 100,539.18, 150,830.46 and 33,977.84 is: 50,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,539.18 : 150,830.46 = 33,977.84 : x
  2. Step 2: Convert to fraction form
    100,539.18/150,830.46 = 33,977.84/x
  3. Step 3: Cross multiply
    100,539.18x = 150,830.46 × 33,977.84
  4. Step 4: Simplify right side
    100,539.18x = 5,124,892,482.85
  5. Step 5: Solve for x
    x = 5,124,892,482.85/100,539.18
  6. Step 6: Final answer
    x = 50,974.08

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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.