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Finding the Fourth Proportional to 37,920.48, 56,874.24 and 10,212

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Solution

The fourth proportional to 37,920.48, 56,874.24 and 10,212 is: 15,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,920.48 : 56,874.24 = 10,212 : x
  2. Step 2: Convert to fraction form
    37,920.48/56,874.24 = 10,212/x
  3. Step 3: Cross multiply
    37,920.48x = 56,874.24 × 10,212
  4. Step 4: Simplify right side
    37,920.48x = 580,799,738.88
  5. Step 5: Solve for x
    x = 580,799,738.88/37,920.48
  6. Step 6: Final answer
    x = 15,316.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.