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Finding the Fourth Proportional to 54,718.69, 82,078.04 and 13,165.69

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Solution

The fourth proportional to 54,718.69, 82,078.04 and 13,165.69 is: 19,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718.69 : 82,078.04 = 13,165.69 : x
  2. Step 2: Convert to fraction form
    54,718.69/82,078.04 = 13,165.69/x
  3. Step 3: Cross multiply
    54,718.69x = 82,078.04 × 13,165.69
  4. Step 4: Simplify right side
    54,718.69x = 1,080,614,030.45
  5. Step 5: Solve for x
    x = 1,080,614,030.45/54,718.69
  6. Step 6: Final answer
    x = 19,748.54

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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.