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Finding the Fourth Proportional to 30,920.50, 46,380.88 and 13,146.58

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Solution

The fourth proportional to 30,920.50, 46,380.88 and 13,146.58 is: 19,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.50 : 46,380.88 = 13,146.58 : x
  2. Step 2: Convert to fraction form
    30,920.50/46,380.88 = 13,146.58/x
  3. Step 3: Cross multiply
    30,920.50x = 46,380.88 × 13,146.58
  4. Step 4: Simplify right side
    30,920.50x = 609,749,949.39
  5. Step 5: Solve for x
    x = 609,749,949.39/30,920.50
  6. Step 6: Final answer
    x = 19,719.93

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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.