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Finding the Fourth Proportional to 32,206.41, 44,443.78 and 19,457.37

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Solution

The fourth proportional to 32,206.41, 44,443.78 and 19,457.37 is: 26,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.41 : 44,443.78 = 19,457.37 : x
  2. Step 2: Convert to fraction form
    32,206.41/44,443.78 = 19,457.37/x
  3. Step 3: Cross multiply
    32,206.41x = 44,443.78 × 19,457.37
  4. Step 4: Simplify right side
    32,206.41x = 864,759,023.02
  5. Step 5: Solve for x
    x = 864,759,023.02/32,206.41
  6. Step 6: Final answer
    x = 26,850.53

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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.