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Finding the Fourth Proportional to 74,825, 103,258.64 and 41,291

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Solution

The fourth proportional to 74,825, 103,258.64 and 41,291 is: 56,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,825 : 103,258.64 = 41,291 : x
  2. Step 2: Convert to fraction form
    74,825/103,258.64 = 41,291/x
  3. Step 3: Cross multiply
    74,825x = 103,258.64 × 41,291
  4. Step 4: Simplify right side
    74,825x = 4,263,652,297.79
  5. Step 5: Solve for x
    x = 4,263,652,297.79/74,825
  6. Step 6: Final answer
    x = 56,981.65

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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.