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Finding the Fourth Proportional to 30,176.84, 41,644.20 and 16,748.96

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Solution

The fourth proportional to 30,176.84, 41,644.20 and 16,748.96 is: 23,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.84 : 41,644.20 = 16,748.96 : x
  2. Step 2: Convert to fraction form
    30,176.84/41,644.20 = 16,748.96/x
  3. Step 3: Cross multiply
    30,176.84x = 41,644.20 × 16,748.96
  4. Step 4: Simplify right side
    30,176.84x = 697,497,040.03
  5. Step 5: Solve for x
    x = 697,497,040.03/30,176.84
  6. Step 6: Final answer
    x = 23,113.65

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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.