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Finding the Fourth Proportional to 30,677.60, 42,356.03 and 22,612.23

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Solution

The fourth proportional to 30,677.60, 42,356.03 and 22,612.23 is: 31,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.60 : 42,356.03 = 22,612.23 : x
  2. Step 2: Convert to fraction form
    30,677.60/42,356.03 = 22,612.23/x
  3. Step 3: Cross multiply
    30,677.60x = 42,356.03 × 22,612.23
  4. Step 4: Simplify right side
    30,677.60x = 957,764,179.19
  5. Step 5: Solve for x
    x = 957,764,179.19/30,677.60
  6. Step 6: Final answer
    x = 31,220.31

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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.