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Finding the Fourth Proportional to 31,012.54, 42,709.89 and 30,915.34

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Solution

The fourth proportional to 31,012.54, 42,709.89 and 30,915.34 is: 42,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.54 : 42,709.89 = 30,915.34 : x
  2. Step 2: Convert to fraction form
    31,012.54/42,709.89 = 30,915.34/x
  3. Step 3: Cross multiply
    31,012.54x = 42,709.89 × 30,915.34
  4. Step 4: Simplify right side
    31,012.54x = 1,320,390,770.71
  5. Step 5: Solve for x
    x = 1,320,390,770.71/31,012.54
  6. Step 6: Final answer
    x = 42,576.03

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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.