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Finding the Fourth Proportional to 30,785.34, 42,464.07 and 21,350.46

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Solution

The fourth proportional to 30,785.34, 42,464.07 and 21,350.46 is: 29,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.34 : 42,464.07 = 21,350.46 : x
  2. Step 2: Convert to fraction form
    30,785.34/42,464.07 = 21,350.46/x
  3. Step 3: Cross multiply
    30,785.34x = 42,464.07 × 21,350.46
  4. Step 4: Simplify right side
    30,785.34x = 906,627,427.97
  5. Step 5: Solve for x
    x = 906,627,427.97/30,785.34
  6. Step 6: Final answer
    x = 29,449.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.