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Finding the Fourth Proportional to 40,903.14, 61,354.68 and 13,201.14

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Solution

The fourth proportional to 40,903.14, 61,354.68 and 13,201.14 is: 19,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,903.14 : 61,354.68 = 13,201.14 : x
  2. Step 2: Convert to fraction form
    40,903.14/61,354.68 = 13,201.14/x
  3. Step 3: Cross multiply
    40,903.14x = 61,354.68 × 13,201.14
  4. Step 4: Simplify right side
    40,903.14x = 809,951,720.34
  5. Step 5: Solve for x
    x = 809,951,720.34/40,903.14
  6. Step 6: Final answer
    x = 19,801.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.