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Finding the Fourth Proportional to 30,294.64, 45,371.42 and 29,243.67

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Solution

The fourth proportional to 30,294.64, 45,371.42 and 29,243.67 is: 43,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.64 : 45,371.42 = 29,243.67 : x
  2. Step 2: Convert to fraction form
    30,294.64/45,371.42 = 29,243.67/x
  3. Step 3: Cross multiply
    30,294.64x = 45,371.42 × 29,243.67
  4. Step 4: Simplify right side
    30,294.64x = 1,326,826,833.91
  5. Step 5: Solve for x
    x = 1,326,826,833.91/30,294.64
  6. Step 6: Final answer
    x = 43,797.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.