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Finding the Fourth Proportional to 30,178.98, 41,644.53 and 16,750.80

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Solution

The fourth proportional to 30,178.98, 41,644.53 and 16,750.80 is: 23,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.98 : 41,644.53 = 16,750.80 : x
  2. Step 2: Convert to fraction form
    30,178.98/41,644.53 = 16,750.80/x
  3. Step 3: Cross multiply
    30,178.98x = 41,644.53 × 16,750.80
  4. Step 4: Simplify right side
    30,178.98x = 697,579,193.12
  5. Step 5: Solve for x
    x = 697,579,193.12/30,178.98
  6. Step 6: Final answer
    x = 23,114.74

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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.