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Finding the Fourth Proportional to 30,740.84, 42,406.31 and 19,406.25

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Solution

The fourth proportional to 30,740.84, 42,406.31 and 19,406.25 is: 26,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.84 : 42,406.31 = 19,406.25 : x
  2. Step 2: Convert to fraction form
    30,740.84/42,406.31 = 19,406.25/x
  3. Step 3: Cross multiply
    30,740.84x = 42,406.31 × 19,406.25
  4. Step 4: Simplify right side
    30,740.84x = 822,947,356.41
  5. Step 5: Solve for x
    x = 822,947,356.41/30,740.84
  6. Step 6: Final answer
    x = 26,770.49

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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.