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Finding the Fourth Proportional to 100,032.84, 150,073.02 and 29,914.38

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Solution

The fourth proportional to 100,032.84, 150,073.02 and 29,914.38 is: 44,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032.84 : 150,073.02 = 29,914.38 : x
  2. Step 2: Convert to fraction form
    100,032.84/150,073.02 = 29,914.38/x
  3. Step 3: Cross multiply
    100,032.84x = 150,073.02 × 29,914.38
  4. Step 4: Simplify right side
    100,032.84x = 4,489,341,348.03
  5. Step 5: Solve for x
    x = 4,489,341,348.03/100,032.84
  6. Step 6: Final answer
    x = 44,878.68

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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.