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Finding the Fourth Proportional to 113,701.36, 170,553.12 and 43,564

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Solution

The fourth proportional to 113,701.36, 170,553.12 and 43,564 is: 65,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,701.36 : 170,553.12 = 43,564 : x
  2. Step 2: Convert to fraction form
    113,701.36/170,553.12 = 43,564/x
  3. Step 3: Cross multiply
    113,701.36x = 170,553.12 × 43,564
  4. Step 4: Simplify right side
    113,701.36x = 7,429,976,119.68
  5. Step 5: Solve for x
    x = 7,429,976,119.68/113,701.36
  6. Step 6: Final answer
    x = 65,346.41

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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.