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Finding the Fourth Proportional to 34,231.20, 51,346.80 and 31,606.80

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Solution

The fourth proportional to 34,231.20, 51,346.80 and 31,606.80 is: 47,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.20 : 51,346.80 = 31,606.80 : x
  2. Step 2: Convert to fraction form
    34,231.20/51,346.80 = 31,606.80/x
  3. Step 3: Cross multiply
    34,231.20x = 51,346.80 × 31,606.80
  4. Step 4: Simplify right side
    34,231.20x = 1,622,908,038.24
  5. Step 5: Solve for x
    x = 1,622,908,038.24/34,231.20
  6. Step 6: Final answer
    x = 47,410.20

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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.