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Finding the Fourth Proportional to 30,920.67, 46,377.23 and 13,158.49

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Solution

The fourth proportional to 30,920.67, 46,377.23 and 13,158.49 is: 19,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.67 : 46,377.23 = 13,158.49 : x
  2. Step 2: Convert to fraction form
    30,920.67/46,377.23 = 13,158.49/x
  3. Step 3: Cross multiply
    30,920.67x = 46,377.23 × 13,158.49
  4. Step 4: Simplify right side
    30,920.67x = 610,254,035.95
  5. Step 5: Solve for x
    x = 610,254,035.95/30,920.67
  6. Step 6: Final answer
    x = 19,736.12

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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.