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Finding the Fourth Proportional to 30,274.76, 41,780.34 and 16,845.48

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Solution

The fourth proportional to 30,274.76, 41,780.34 and 16,845.48 is: 23,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.76 : 41,780.34 = 16,845.48 : x
  2. Step 2: Convert to fraction form
    30,274.76/41,780.34 = 16,845.48/x
  3. Step 3: Cross multiply
    30,274.76x = 41,780.34 × 16,845.48
  4. Step 4: Simplify right side
    30,274.76x = 703,809,881.86
  5. Step 5: Solve for x
    x = 703,809,881.86/30,274.76
  6. Step 6: Final answer
    x = 23,247.41

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1.5x scale

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.