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Finding the Fourth Proportional to 33,012, 45,556.64 and 18,864.81

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Solution

The fourth proportional to 33,012, 45,556.64 and 18,864.81 is: 26,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012 : 45,556.64 = 18,864.81 : x
  2. Step 2: Convert to fraction form
    33,012/45,556.64 = 18,864.81/x
  3. Step 3: Cross multiply
    33,012x = 45,556.64 × 18,864.81
  4. Step 4: Simplify right side
    33,012x = 859,417,263.51
  5. Step 5: Solve for x
    x = 859,417,263.51/33,012
  6. Step 6: Final answer
    x = 26,033.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.