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Finding the Fourth Proportional to 30,568.36, 42,202.74 and 19,975.72

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Solution

The fourth proportional to 30,568.36, 42,202.74 and 19,975.72 is: 27,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.36 : 42,202.74 = 19,975.72 : x
  2. Step 2: Convert to fraction form
    30,568.36/42,202.74 = 19,975.72/x
  3. Step 3: Cross multiply
    30,568.36x = 42,202.74 × 19,975.72
  4. Step 4: Simplify right side
    30,568.36x = 843,030,117.47
  5. Step 5: Solve for x
    x = 843,030,117.47/30,568.36
  6. Step 6: Final answer
    x = 27,578.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.