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Finding the Fourth Proportional to 30,681.32, 42,080.41 and 30,317.80

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Solution

The fourth proportional to 30,681.32, 42,080.41 and 30,317.80 is: 41,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.32 : 42,080.41 = 30,317.80 : x
  2. Step 2: Convert to fraction form
    30,681.32/42,080.41 = 30,317.80/x
  3. Step 3: Cross multiply
    30,681.32x = 42,080.41 × 30,317.80
  4. Step 4: Simplify right side
    30,681.32x = 1,275,785,454.30
  5. Step 5: Solve for x
    x = 1,275,785,454.30/30,681.32
  6. Step 6: Final answer
    x = 41,581.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.