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Finding the Fourth Proportional to 103,616.51, 155,421.12 and 33,494

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Solution

The fourth proportional to 103,616.51, 155,421.12 and 33,494 is: 50,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616.51 : 155,421.12 = 33,494 : x
  2. Step 2: Convert to fraction form
    103,616.51/155,421.12 = 33,494/x
  3. Step 3: Cross multiply
    103,616.51x = 155,421.12 × 33,494
  4. Step 4: Simplify right side
    103,616.51x = 5,205,674,993.28
  5. Step 5: Solve for x
    x = 5,205,674,993.28/103,616.51
  6. Step 6: Final answer
    x = 50,239.82

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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.