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Finding the Fourth Proportional to 100,646.49, 150,970.39 and 29,568.83

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Solution

The fourth proportional to 100,646.49, 150,970.39 and 29,568.83 is: 44,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.49 : 150,970.39 = 29,568.83 : x
  2. Step 2: Convert to fraction form
    100,646.49/150,970.39 = 29,568.83/x
  3. Step 3: Cross multiply
    100,646.49x = 150,970.39 × 29,568.83
  4. Step 4: Simplify right side
    100,646.49x = 4,464,017,796.94
  5. Step 5: Solve for x
    x = 4,464,017,796.94/100,646.49
  6. Step 6: Final answer
    x = 44,353.44

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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.