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Finding the Fourth Proportional to 30,478.46, 42,068.09 and 18,550.22

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Solution

The fourth proportional to 30,478.46, 42,068.09 and 18,550.22 is: 25,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.46 : 42,068.09 = 18,550.22 : x
  2. Step 2: Convert to fraction form
    30,478.46/42,068.09 = 18,550.22/x
  3. Step 3: Cross multiply
    30,478.46x = 42,068.09 × 18,550.22
  4. Step 4: Simplify right side
    30,478.46x = 780,372,160.51
  5. Step 5: Solve for x
    x = 780,372,160.51/30,478.46
  6. Step 6: Final answer
    x = 25,604.06

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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.