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Finding the Fourth Proportional to 30,187.56, 41,633.25 and 19,434.30

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Solution

The fourth proportional to 30,187.56, 41,633.25 and 19,434.30 is: 26,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.56 : 41,633.25 = 19,434.30 : x
  2. Step 2: Convert to fraction form
    30,187.56/41,633.25 = 19,434.30/x
  3. Step 3: Cross multiply
    30,187.56x = 41,633.25 × 19,434.30
  4. Step 4: Simplify right side
    30,187.56x = 809,113,070.48
  5. Step 5: Solve for x
    x = 809,113,070.48/30,187.56
  6. Step 6: Final answer
    x = 26,802.86

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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.