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Finding the Fourth Proportional to 30,945.78, 42,716.22 and 18,370.50

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Solution

The fourth proportional to 30,945.78, 42,716.22 and 18,370.50 is: 25,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.78 : 42,716.22 = 18,370.50 : x
  2. Step 2: Convert to fraction form
    30,945.78/42,716.22 = 18,370.50/x
  3. Step 3: Cross multiply
    30,945.78x = 42,716.22 × 18,370.50
  4. Step 4: Simplify right side
    30,945.78x = 784,718,319.51
  5. Step 5: Solve for x
    x = 784,718,319.51/30,945.78
  6. Step 6: Final answer
    x = 25,357.85

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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.