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Finding the Fourth Proportional to 49,427.96, 68,211.02 and 28,207

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Solution

The fourth proportional to 49,427.96, 68,211.02 and 28,207 is: 38,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,427.96 : 68,211.02 = 28,207 : x
  2. Step 2: Convert to fraction form
    49,427.96/68,211.02 = 28,207/x
  3. Step 3: Cross multiply
    49,427.96x = 68,211.02 × 28,207
  4. Step 4: Simplify right side
    49,427.96x = 1,924,028,241.14
  5. Step 5: Solve for x
    x = 1,924,028,241.14/49,427.96
  6. Step 6: Final answer
    x = 38,925.91

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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.