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Finding the Fourth Proportional to 52,906.84, 79,427.89 and 45,458.08

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Solution

The fourth proportional to 52,906.84, 79,427.89 and 45,458.08 is: 68,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,906.84 : 79,427.89 = 45,458.08 : x
  2. Step 2: Convert to fraction form
    52,906.84/79,427.89 = 45,458.08/x
  3. Step 3: Cross multiply
    52,906.84x = 79,427.89 × 45,458.08
  4. Step 4: Simplify right side
    52,906.84x = 3,610,639,236.10
  5. Step 5: Solve for x
    x = 3,610,639,236.10/52,906.84
  6. Step 6: Final answer
    x = 68,245.23

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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.