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Finding the Fourth Proportional to 30,862.98, 46,294.46 and 7,489.41

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Solution

The fourth proportional to 30,862.98, 46,294.46 and 7,489.41 is: 11,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.98 : 46,294.46 = 7,489.41 : x
  2. Step 2: Convert to fraction form
    30,862.98/46,294.46 = 7,489.41/x
  3. Step 3: Cross multiply
    30,862.98x = 46,294.46 × 7,489.41
  4. Step 4: Simplify right side
    30,862.98x = 346,718,154.22
  5. Step 5: Solve for x
    x = 346,718,154.22/30,862.98
  6. Step 6: Final answer
    x = 11,234.11

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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.