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Finding the Fourth Proportional to 52,576.40, 78,825.72 and 24,842

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Solution

The fourth proportional to 52,576.40, 78,825.72 and 24,842 is: 37,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,576.40 : 78,825.72 = 24,842 : x
  2. Step 2: Convert to fraction form
    52,576.40/78,825.72 = 24,842/x
  3. Step 3: Cross multiply
    52,576.40x = 78,825.72 × 24,842
  4. Step 4: Simplify right side
    52,576.40x = 1,958,188,536.24
  5. Step 5: Solve for x
    x = 1,958,188,536.24/52,576.40
  6. Step 6: Final answer
    x = 37,244.63

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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.