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Finding the Fourth Proportional to 35,231.20, 52,846.80 and 31,314.40

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Solution

The fourth proportional to 35,231.20, 52,846.80 and 31,314.40 is: 46,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231.20 : 52,846.80 = 31,314.40 : x
  2. Step 2: Convert to fraction form
    35,231.20/52,846.80 = 31,314.40/x
  3. Step 3: Cross multiply
    35,231.20x = 52,846.80 × 31,314.40
  4. Step 4: Simplify right side
    35,231.20x = 1,654,865,833.92
  5. Step 5: Solve for x
    x = 1,654,865,833.92/35,231.20
  6. Step 6: Final answer
    x = 46,971.60

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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.