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Finding the Fourth Proportional to 36,182.84, 54,292.80 and 17,228.94

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Solution

The fourth proportional to 36,182.84, 54,292.80 and 17,228.94 is: 25,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,182.84 : 54,292.80 = 17,228.94 : x
  2. Step 2: Convert to fraction form
    36,182.84/54,292.80 = 17,228.94/x
  3. Step 3: Cross multiply
    36,182.84x = 54,292.80 × 17,228.94
  4. Step 4: Simplify right side
    36,182.84x = 935,407,393.63
  5. Step 5: Solve for x
    x = 935,407,393.63/36,182.84
  6. Step 6: Final answer
    x = 25,852.24

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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.