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Finding the Fourth Proportional to 30,712.46, 46,020.70 and 21,370.73

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Solution

The fourth proportional to 30,712.46, 46,020.70 and 21,370.73 is: 32,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.46 : 46,020.70 = 21,370.73 : x
  2. Step 2: Convert to fraction form
    30,712.46/46,020.70 = 21,370.73/x
  3. Step 3: Cross multiply
    30,712.46x = 46,020.70 × 21,370.73
  4. Step 4: Simplify right side
    30,712.46x = 983,495,847.26
  5. Step 5: Solve for x
    x = 983,495,847.26/30,712.46
  6. Step 6: Final answer
    x = 32,022.70

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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.