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Finding the Fourth Proportional to 54,717.77, 82,076.67 and 13,164.77

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Solution

The fourth proportional to 54,717.77, 82,076.67 and 13,164.77 is: 19,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,717.77 : 82,076.67 = 13,164.77 : x
  2. Step 2: Convert to fraction form
    54,717.77/82,076.67 = 13,164.77/x
  3. Step 3: Cross multiply
    54,717.77x = 82,076.67 × 13,164.77
  4. Step 4: Simplify right side
    54,717.77x = 1,080,520,482.92
  5. Step 5: Solve for x
    x = 1,080,520,482.92/54,717.77
  6. Step 6: Final answer
    x = 19,747.16

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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.