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Finding the Fourth Proportional to 30,903.93, 42,654.38 and 18,161.20

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Solution

The fourth proportional to 30,903.93, 42,654.38 and 18,161.20 is: 25,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.93 : 42,654.38 = 18,161.20 : x
  2. Step 2: Convert to fraction form
    30,903.93/42,654.38 = 18,161.20/x
  3. Step 3: Cross multiply
    30,903.93x = 42,654.38 × 18,161.20
  4. Step 4: Simplify right side
    30,903.93x = 774,654,726.06
  5. Step 5: Solve for x
    x = 774,654,726.06/30,903.93
  6. Step 6: Final answer
    x = 25,066.54

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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.