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Finding the Fourth Proportional to 37,394.37, 51,578.54 and 22,275.38

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Solution

The fourth proportional to 37,394.37, 51,578.54 and 22,275.38 is: 30,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,394.37 : 51,578.54 = 22,275.38 : x
  2. Step 2: Convert to fraction form
    37,394.37/51,578.54 = 22,275.38/x
  3. Step 3: Cross multiply
    37,394.37x = 51,578.54 × 22,275.38
  4. Step 4: Simplify right side
    37,394.37x = 1,148,931,679.45
  5. Step 5: Solve for x
    x = 1,148,931,679.45/37,394.37
  6. Step 6: Final answer
    x = 30,724.72

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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.