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Finding the Fourth Proportional to 30,852.43, 42,576.16 and 17,428.03

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Solution

The fourth proportional to 30,852.43, 42,576.16 and 17,428.03 is: 24,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.43 : 42,576.16 = 17,428.03 : x
  2. Step 2: Convert to fraction form
    30,852.43/42,576.16 = 17,428.03/x
  3. Step 3: Cross multiply
    30,852.43x = 42,576.16 × 17,428.03
  4. Step 4: Simplify right side
    30,852.43x = 742,018,593.76
  5. Step 5: Solve for x
    x = 742,018,593.76/30,852.43
  6. Step 6: Final answer
    x = 24,050.57

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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.