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Finding the Fourth Proportional to 103,819.84, 155,751.54 and 33,693.64

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Solution

The fourth proportional to 103,819.84, 155,751.54 and 33,693.64 is: 50,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,819.84 : 155,751.54 = 33,693.64 : x
  2. Step 2: Convert to fraction form
    103,819.84/155,751.54 = 33,693.64/x
  3. Step 3: Cross multiply
    103,819.84x = 155,751.54 × 33,693.64
  4. Step 4: Simplify right side
    103,819.84x = 5,247,836,318.21
  5. Step 5: Solve for x
    x = 5,247,836,318.21/103,819.84
  6. Step 6: Final answer
    x = 50,547.53

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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.