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Finding the Fourth Proportional to 30,689.94, 46,035.90 and 8,503.53

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Solution

The fourth proportional to 30,689.94, 46,035.90 and 8,503.53 is: 12,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.94 : 46,035.90 = 8,503.53 : x
  2. Step 2: Convert to fraction form
    30,689.94/46,035.90 = 8,503.53/x
  3. Step 3: Cross multiply
    30,689.94x = 46,035.90 × 8,503.53
  4. Step 4: Simplify right side
    30,689.94x = 391,467,656.73
  5. Step 5: Solve for x
    x = 391,467,656.73/30,689.94
  6. Step 6: Final answer
    x = 12,755.57

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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.