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Finding the Fourth Proportional to 45,162, 62,309.16 and 29,258.64

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Solution

The fourth proportional to 45,162, 62,309.16 and 29,258.64 is: 40,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,162 : 62,309.16 = 29,258.64 : x
  2. Step 2: Convert to fraction form
    45,162/62,309.16 = 29,258.64/x
  3. Step 3: Cross multiply
    45,162x = 62,309.16 × 29,258.64
  4. Step 4: Simplify right side
    45,162x = 1,823,081,281.14
  5. Step 5: Solve for x
    x = 1,823,081,281.14/45,162
  6. Step 6: Final answer
    x = 40,367.59

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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.