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Finding the Fourth Proportional to 32,214.57, 44,460.96 and 19,646.61

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Solution

The fourth proportional to 32,214.57, 44,460.96 and 19,646.61 is: 27,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.57 : 44,460.96 = 19,646.61 : x
  2. Step 2: Convert to fraction form
    32,214.57/44,460.96 = 19,646.61/x
  3. Step 3: Cross multiply
    32,214.57x = 44,460.96 × 19,646.61
  4. Step 4: Simplify right side
    32,214.57x = 873,507,141.35
  5. Step 5: Solve for x
    x = 873,507,141.35/32,214.57
  6. Step 6: Final answer
    x = 27,115.28

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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.