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Finding the Fourth Proportional to 30,297.60, 41,783.04 and 19,100.16

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Solution

The fourth proportional to 30,297.60, 41,783.04 and 19,100.16 is: 26,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.60 : 41,783.04 = 19,100.16 : x
  2. Step 2: Convert to fraction form
    30,297.60/41,783.04 = 19,100.16/x
  3. Step 3: Cross multiply
    30,297.60x = 41,783.04 × 19,100.16
  4. Step 4: Simplify right side
    30,297.60x = 798,062,749.29
  5. Step 5: Solve for x
    x = 798,062,749.29/30,297.60
  6. Step 6: Final answer
    x = 26,340.79

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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.