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Finding the Fourth Proportional to 30,076.50, 41,505.05 and 16,647.46

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Solution

The fourth proportional to 30,076.50, 41,505.05 and 16,647.46 is: 22,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.50 : 41,505.05 = 16,647.46 : x
  2. Step 2: Convert to fraction form
    30,076.50/41,505.05 = 16,647.46/x
  3. Step 3: Cross multiply
    30,076.50x = 41,505.05 × 16,647.46
  4. Step 4: Simplify right side
    30,076.50x = 690,953,597.53
  5. Step 5: Solve for x
    x = 690,953,597.53/30,076.50
  6. Step 6: Final answer
    x = 22,973.20

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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.