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Finding the Fourth Proportional to 30,428.44, 45,642.66 and 17,102.32

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Solution

The fourth proportional to 30,428.44, 45,642.66 and 17,102.32 is: 25,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.44 : 45,642.66 = 17,102.32 : x
  2. Step 2: Convert to fraction form
    30,428.44/45,642.66 = 17,102.32/x
  3. Step 3: Cross multiply
    30,428.44x = 45,642.66 × 17,102.32
  4. Step 4: Simplify right side
    30,428.44x = 780,595,376.97
  5. Step 5: Solve for x
    x = 780,595,376.97/30,428.44
  6. Step 6: Final answer
    x = 25,653.48

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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.