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Finding the Fourth Proportional to 30,867.96, 42,568.31 and 18,770.51

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Solution

The fourth proportional to 30,867.96, 42,568.31 and 18,770.51 is: 25,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.96 : 42,568.31 = 18,770.51 : x
  2. Step 2: Convert to fraction form
    30,867.96/42,568.31 = 18,770.51/x
  3. Step 3: Cross multiply
    30,867.96x = 42,568.31 × 18,770.51
  4. Step 4: Simplify right side
    30,867.96x = 799,028,869.37
  5. Step 5: Solve for x
    x = 799,028,869.37/30,867.96
  6. Step 6: Final answer
    x = 25,885.38

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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.