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Finding the Fourth Proportional to 34,945.40, 48,214.12 and 31,577.40

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Solution

The fourth proportional to 34,945.40, 48,214.12 and 31,577.40 is: 43,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,945.40 : 48,214.12 = 31,577.40 : x
  2. Step 2: Convert to fraction form
    34,945.40/48,214.12 = 31,577.40/x
  3. Step 3: Cross multiply
    34,945.40x = 48,214.12 × 31,577.40
  4. Step 4: Simplify right side
    34,945.40x = 1,522,476,552.89
  5. Step 5: Solve for x
    x = 1,522,476,552.89/34,945.40
  6. Step 6: Final answer
    x = 43,567.30

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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.