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Finding the Fourth Proportional to 73,048.48, 109,571.76 and 17,644

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Solution

The fourth proportional to 73,048.48, 109,571.76 and 17,644 is: 26,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,048.48 : 109,571.76 = 17,644 : x
  2. Step 2: Convert to fraction form
    73,048.48/109,571.76 = 17,644/x
  3. Step 3: Cross multiply
    73,048.48x = 109,571.76 × 17,644
  4. Step 4: Simplify right side
    73,048.48x = 1,933,284,133.44
  5. Step 5: Solve for x
    x = 1,933,284,133.44/73,048.48
  6. Step 6: Final answer
    x = 26,465.77

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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.