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Finding the Fourth Proportional to 30,200.41, 41,660.16 and 19,278.16

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Solution

The fourth proportional to 30,200.41, 41,660.16 and 19,278.16 is: 26,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.41 : 41,660.16 = 19,278.16 : x
  2. Step 2: Convert to fraction form
    30,200.41/41,660.16 = 19,278.16/x
  3. Step 3: Cross multiply
    30,200.41x = 41,660.16 × 19,278.16
  4. Step 4: Simplify right side
    30,200.41x = 803,131,230.11
  5. Step 5: Solve for x
    x = 803,131,230.11/30,200.41
  6. Step 6: Final answer
    x = 26,593.39

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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.