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Finding the Fourth Proportional to 30,884.46, 46,306.71 and 20,322.51

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Solution

The fourth proportional to 30,884.46, 46,306.71 and 20,322.51 is: 30,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.46 : 46,306.71 = 20,322.51 : x
  2. Step 2: Convert to fraction form
    30,884.46/46,306.71 = 20,322.51/x
  3. Step 3: Cross multiply
    30,884.46x = 46,306.71 × 20,322.51
  4. Step 4: Simplify right side
    30,884.46x = 941,068,577.04
  5. Step 5: Solve for x
    x = 941,068,577.04/30,884.46
  6. Step 6: Final answer
    x = 30,470.62

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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.