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Finding the Fourth Proportional to 74,054.56, 110,981.16 and 31,324.45

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Solution

The fourth proportional to 74,054.56, 110,981.16 and 31,324.45 is: 46,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054.56 : 110,981.16 = 31,324.45 : x
  2. Step 2: Convert to fraction form
    74,054.56/110,981.16 = 31,324.45/x
  3. Step 3: Cross multiply
    74,054.56x = 110,981.16 × 31,324.45
  4. Step 4: Simplify right side
    74,054.56x = 3,476,423,640.74
  5. Step 5: Solve for x
    x = 3,476,423,640.74/74,054.56
  6. Step 6: Final answer
    x = 46,944.09

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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.