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Finding the Fourth Proportional to 110,313.30, 165,442.61 and 31,428.21

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Solution

The fourth proportional to 110,313.30, 165,442.61 and 31,428.21 is: 47,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,313.30 : 165,442.61 = 31,428.21 : x
  2. Step 2: Convert to fraction form
    110,313.30/165,442.61 = 31,428.21/x
  3. Step 3: Cross multiply
    110,313.30x = 165,442.61 × 31,428.21
  4. Step 4: Simplify right side
    110,313.30x = 5,199,565,090.03
  5. Step 5: Solve for x
    x = 5,199,565,090.03/110,313.30
  6. Step 6: Final answer
    x = 47,134.53

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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.