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Finding the Fourth Proportional to 30,306.31, 41,781.95 and 21,219.46

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Solution

The fourth proportional to 30,306.31, 41,781.95 and 21,219.46 is: 29,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306.31 : 41,781.95 = 21,219.46 : x
  2. Step 2: Convert to fraction form
    30,306.31/41,781.95 = 21,219.46/x
  3. Step 3: Cross multiply
    30,306.31x = 41,781.95 × 21,219.46
  4. Step 4: Simplify right side
    30,306.31x = 886,590,416.75
  5. Step 5: Solve for x
    x = 886,590,416.75/30,306.31
  6. Step 6: Final answer
    x = 29,254.32

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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.