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Finding the Fourth Proportional to 30,715.34, 46,017.12 and 21,335.54

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Solution

The fourth proportional to 30,715.34, 46,017.12 and 21,335.54 is: 31,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.34 : 46,017.12 = 21,335.54 : x
  2. Step 2: Convert to fraction form
    30,715.34/46,017.12 = 21,335.54/x
  3. Step 3: Cross multiply
    30,715.34x = 46,017.12 × 21,335.54
  4. Step 4: Simplify right side
    30,715.34x = 981,800,104.44
  5. Step 5: Solve for x
    x = 981,800,104.44/30,715.34
  6. Step 6: Final answer
    x = 31,964.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.