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Finding the Fourth Proportional to 100,949.34, 151,450.27 and 37,774.40

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Solution

The fourth proportional to 100,949.34, 151,450.27 and 37,774.40 is: 56,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949.34 : 151,450.27 = 37,774.40 : x
  2. Step 2: Convert to fraction form
    100,949.34/151,450.27 = 37,774.40/x
  3. Step 3: Cross multiply
    100,949.34x = 151,450.27 × 37,774.40
  4. Step 4: Simplify right side
    100,949.34x = 5,720,943,291.79
  5. Step 5: Solve for x
    x = 5,720,943,291.79/100,949.34
  6. Step 6: Final answer
    x = 56,671.43

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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.