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Finding the Fourth Proportional to 109,954.34, 164,943.72 and 35,048.37

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Solution

The fourth proportional to 109,954.34, 164,943.72 and 35,048.37 is: 52,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,954.34 : 164,943.72 = 35,048.37 : x
  2. Step 2: Convert to fraction form
    109,954.34/164,943.72 = 35,048.37/x
  3. Step 3: Cross multiply
    109,954.34x = 164,943.72 × 35,048.37
  4. Step 4: Simplify right side
    109,954.34x = 5,781,008,527.74
  5. Step 5: Solve for x
    x = 5,781,008,527.74/109,954.34
  6. Step 6: Final answer
    x = 52,576.45

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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.