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Finding the Fourth Proportional to 54,749.80, 82,124.53 and 13,196.80

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Solution

The fourth proportional to 54,749.80, 82,124.53 and 13,196.80 is: 19,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,749.80 : 82,124.53 = 13,196.80 : x
  2. Step 2: Convert to fraction form
    54,749.80/82,124.53 = 13,196.80/x
  3. Step 3: Cross multiply
    54,749.80x = 82,124.53 × 13,196.80
  4. Step 4: Simplify right side
    54,749.80x = 1,083,780,997.50
  5. Step 5: Solve for x
    x = 1,083,780,997.50/54,749.80
  6. Step 6: Final answer
    x = 19,795.16

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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.