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Finding the Fourth Proportional to 103,924.48, 155,900.48 and 33,780

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Solution

The fourth proportional to 103,924.48, 155,900.48 and 33,780 is: 50,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,924.48 : 155,900.48 = 33,780 : x
  2. Step 2: Convert to fraction form
    103,924.48/155,900.48 = 33,780/x
  3. Step 3: Cross multiply
    103,924.48x = 155,900.48 × 33,780
  4. Step 4: Simplify right side
    103,924.48x = 5,266,318,214.40
  5. Step 5: Solve for x
    x = 5,266,318,214.40/103,924.48
  6. Step 6: Final answer
    x = 50,674.47

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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.