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Finding the Fourth Proportional to 113,640.49, 170,460.64 and 30,534.49

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Solution

The fourth proportional to 113,640.49, 170,460.64 and 30,534.49 is: 45,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,640.49 : 170,460.64 = 30,534.49 : x
  2. Step 2: Convert to fraction form
    113,640.49/170,460.64 = 30,534.49/x
  3. Step 3: Cross multiply
    113,640.49x = 170,460.64 × 30,534.49
  4. Step 4: Simplify right side
    113,640.49x = 5,204,928,707.47
  5. Step 5: Solve for x
    x = 5,204,928,707.47/113,640.49
  6. Step 6: Final answer
    x = 45,801.71

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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.