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Finding the Fourth Proportional to 30,755.46, 42,446.43 and 21,307.62

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Solution

The fourth proportional to 30,755.46, 42,446.43 and 21,307.62 is: 29,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.46 : 42,446.43 = 21,307.62 : x
  2. Step 2: Convert to fraction form
    30,755.46/42,446.43 = 21,307.62/x
  3. Step 3: Cross multiply
    30,755.46x = 42,446.43 × 21,307.62
  4. Step 4: Simplify right side
    30,755.46x = 904,432,400.80
  5. Step 5: Solve for x
    x = 904,432,400.80/30,755.46
  6. Step 6: Final answer
    x = 29,407.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.