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Finding the Fourth Proportional to 104,122.84, 156,199.53 and 33,021.76

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Solution

The fourth proportional to 104,122.84, 156,199.53 and 33,021.76 is: 49,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,122.84 : 156,199.53 = 33,021.76 : x
  2. Step 2: Convert to fraction form
    104,122.84/156,199.53 = 33,021.76/x
  3. Step 3: Cross multiply
    104,122.84x = 156,199.53 × 33,021.76
  4. Step 4: Simplify right side
    104,122.84x = 5,157,983,844.76
  5. Step 5: Solve for x
    x = 5,157,983,844.76/104,122.84
  6. Step 6: Final answer
    x = 49,537.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.