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Finding the Fourth Proportional to 70,878.20, 106,317.30 and 31,512.20

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Solution

The fourth proportional to 70,878.20, 106,317.30 and 31,512.20 is: 47,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.20 : 106,317.30 = 31,512.20 : x
  2. Step 2: Convert to fraction form
    70,878.20/106,317.30 = 31,512.20/x
  3. Step 3: Cross multiply
    70,878.20x = 106,317.30 × 31,512.20
  4. Step 4: Simplify right side
    70,878.20x = 3,350,292,021.06
  5. Step 5: Solve for x
    x = 3,350,292,021.06/70,878.20
  6. Step 6: Final answer
    x = 47,268.30

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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.