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Finding the Fourth Proportional to 54,746.65, 82,119.79 and 13,193.65

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Solution

The fourth proportional to 54,746.65, 82,119.79 and 13,193.65 is: 19,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,746.65 : 82,119.79 = 13,193.65 : x
  2. Step 2: Convert to fraction form
    54,746.65/82,119.79 = 13,193.65/x
  3. Step 3: Cross multiply
    54,746.65x = 82,119.79 × 13,193.65
  4. Step 4: Simplify right side
    54,746.65x = 1,083,459,529.05
  5. Step 5: Solve for x
    x = 1,083,459,529.05/54,746.65
  6. Step 6: Final answer
    x = 19,790.43

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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.