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Finding the Fourth Proportional to 103,998.96, 155,998.32 and 33,878.16

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Solution

The fourth proportional to 103,998.96, 155,998.32 and 33,878.16 is: 50,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,998.96 : 155,998.32 = 33,878.16 : x
  2. Step 2: Convert to fraction form
    103,998.96/155,998.32 = 33,878.16/x
  3. Step 3: Cross multiply
    103,998.96x = 155,998.32 × 33,878.16
  4. Step 4: Simplify right side
    103,998.96x = 5,284,936,044.69
  5. Step 5: Solve for x
    x = 5,284,936,044.69/103,998.96
  6. Step 6: Final answer
    x = 50,817.20

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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.