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Finding the Fourth Proportional to 30,176.84, 41,644.50 and 16,748.97

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Solution

The fourth proportional to 30,176.84, 41,644.50 and 16,748.97 is: 23,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.84 : 41,644.50 = 16,748.97 : x
  2. Step 2: Convert to fraction form
    30,176.84/41,644.50 = 16,748.97/x
  3. Step 3: Cross multiply
    30,176.84x = 41,644.50 × 16,748.97
  4. Step 4: Simplify right side
    30,176.84x = 697,502,481.17
  5. Step 5: Solve for x
    x = 697,502,481.17/30,176.84
  6. Step 6: Final answer
    x = 23,113.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.