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Finding the Fourth Proportional to 54,769.84, 82,155.03 and 17,328.40

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Solution

The fourth proportional to 54,769.84, 82,155.03 and 17,328.40 is: 25,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.84 : 82,155.03 = 17,328.40 : x
  2. Step 2: Convert to fraction form
    54,769.84/82,155.03 = 17,328.40/x
  3. Step 3: Cross multiply
    54,769.84x = 82,155.03 × 17,328.40
  4. Step 4: Simplify right side
    54,769.84x = 1,423,615,221.85
  5. Step 5: Solve for x
    x = 1,423,615,221.85/54,769.84
  6. Step 6: Final answer
    x = 25,992.69

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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.