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Finding the Fourth Proportional to 30,909.32, 42,950.67 and 30,588.20

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Solution

The fourth proportional to 30,909.32, 42,950.67 and 30,588.20 is: 42,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.32 : 42,950.67 = 30,588.20 : x
  2. Step 2: Convert to fraction form
    30,909.32/42,950.67 = 30,588.20/x
  3. Step 3: Cross multiply
    30,909.32x = 42,950.67 × 30,588.20
  4. Step 4: Simplify right side
    30,909.32x = 1,313,783,684.09
  5. Step 5: Solve for x
    x = 1,313,783,684.09/30,909.32
  6. Step 6: Final answer
    x = 42,504.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.