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Finding the Fourth Proportional to 30,077.18, 41,505.45 and 16,648.46

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Solution

The fourth proportional to 30,077.18, 41,505.45 and 16,648.46 is: 22,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.18 : 41,505.45 = 16,648.46 : x
  2. Step 2: Convert to fraction form
    30,077.18/41,505.45 = 16,648.46/x
  3. Step 3: Cross multiply
    30,077.18x = 41,505.45 × 16,648.46
  4. Step 4: Simplify right side
    30,077.18x = 691,001,824.11
  5. Step 5: Solve for x
    x = 691,001,824.11/30,077.18
  6. Step 6: Final answer
    x = 22,974.29

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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.