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Finding the Fourth Proportional to 49,428.12, 68,213.70 and 28,214.22

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Solution

The fourth proportional to 49,428.12, 68,213.70 and 28,214.22 is: 38,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,428.12 : 68,213.70 = 28,214.22 : x
  2. Step 2: Convert to fraction form
    49,428.12/68,213.70 = 28,214.22/x
  3. Step 3: Cross multiply
    49,428.12x = 68,213.70 × 28,214.22
  4. Step 4: Simplify right side
    49,428.12x = 1,924,596,338.81
  5. Step 5: Solve for x
    x = 1,924,596,338.81/49,428.12
  6. Step 6: Final answer
    x = 38,937.28

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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.