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Finding the Fourth Proportional to 32,969.40, 45,494.78 and 19,538.49

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Solution

The fourth proportional to 32,969.40, 45,494.78 and 19,538.49 is: 26,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.40 : 45,494.78 = 19,538.49 : x
  2. Step 2: Convert to fraction form
    32,969.40/45,494.78 = 19,538.49/x
  3. Step 3: Cross multiply
    32,969.40x = 45,494.78 × 19,538.49
  4. Step 4: Simplify right side
    32,969.40x = 888,898,978.92
  5. Step 5: Solve for x
    x = 888,898,978.92/32,969.40
  6. Step 6: Final answer
    x = 26,961.34

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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.