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Finding the Fourth Proportional to 103,678.16, 155,541.96 and 33,557.49

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Solution

The fourth proportional to 103,678.16, 155,541.96 and 33,557.49 is: 50,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678.16 : 155,541.96 = 33,557.49 : x
  2. Step 2: Convert to fraction form
    103,678.16/155,541.96 = 33,557.49/x
  3. Step 3: Cross multiply
    103,678.16x = 155,541.96 × 33,557.49
  4. Step 4: Simplify right side
    103,678.16x = 5,219,597,767.28
  5. Step 5: Solve for x
    x = 5,219,597,767.28/103,678.16
  6. Step 6: Final answer
    x = 50,344.24

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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.