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Finding the Fourth Proportional to 45,330, 67,997.43 and 14,167.68

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Solution

The fourth proportional to 45,330, 67,997.43 and 14,167.68 is: 21,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,330 : 67,997.43 = 14,167.68 : x
  2. Step 2: Convert to fraction form
    45,330/67,997.43 = 14,167.68/x
  3. Step 3: Cross multiply
    45,330x = 67,997.43 × 14,167.68
  4. Step 4: Simplify right side
    45,330x = 963,365,829.06
  5. Step 5: Solve for x
    x = 963,365,829.06/45,330
  6. Step 6: Final answer
    x = 21,252.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.