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Finding the Fourth Proportional to 54,811.52, 82,186.24 and 17,364.48

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Solution

The fourth proportional to 54,811.52, 82,186.24 and 17,364.48 is: 26,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.52 : 82,186.24 = 17,364.48 : x
  2. Step 2: Convert to fraction form
    54,811.52/82,186.24 = 17,364.48/x
  3. Step 3: Cross multiply
    54,811.52x = 82,186.24 × 17,364.48
  4. Step 4: Simplify right side
    54,811.52x = 1,427,121,320.76
  5. Step 5: Solve for x
    x = 1,427,121,320.76/54,811.52
  6. Step 6: Final answer
    x = 26,036.89

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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.