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Finding the Fourth Proportional to 37,915.48, 52,328 and 22,816

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Solution

The fourth proportional to 37,915.48, 52,328 and 22,816 is: 31,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,915.48 : 52,328 = 22,816 : x
  2. Step 2: Convert to fraction form
    37,915.48/52,328 = 22,816/x
  3. Step 3: Cross multiply
    37,915.48x = 52,328 × 22,816
  4. Step 4: Simplify right side
    37,915.48x = 1,193,915,648
  5. Step 5: Solve for x
    x = 1,193,915,648/37,915.48
  6. Step 6: Final answer
    x = 31,488.87

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Why These Related Problems?

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