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Finding the Fourth Proportional to 30,933.22, 42,698.13 and 22,006.62

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Solution

The fourth proportional to 30,933.22, 42,698.13 and 22,006.62 is: 30,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.22 : 42,698.13 = 22,006.62 : x
  2. Step 2: Convert to fraction form
    30,933.22/42,698.13 = 22,006.62/x
  3. Step 3: Cross multiply
    30,933.22x = 42,698.13 × 22,006.62
  4. Step 4: Simplify right side
    30,933.22x = 939,641,521.62
  5. Step 5: Solve for x
    x = 939,641,521.62/30,933.22
  6. Step 6: Final answer
    x = 30,376.45

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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.