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Finding the Fourth Proportional to 30,852.48, 42,576.14 and 17,423.50

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Solution

The fourth proportional to 30,852.48, 42,576.14 and 17,423.50 is: 24,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.48 : 42,576.14 = 17,423.50 : x
  2. Step 2: Convert to fraction form
    30,852.48/42,576.14 = 17,423.50/x
  3. Step 3: Cross multiply
    30,852.48x = 42,576.14 × 17,423.50
  4. Step 4: Simplify right side
    30,852.48x = 741,825,375.29
  5. Step 5: Solve for x
    x = 741,825,375.29/30,852.48
  6. Step 6: Final answer
    x = 24,044.27

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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.