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Finding the Fourth Proportional to 54,742.41, 82,113.62 and 13,189.41

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Solution

The fourth proportional to 54,742.41, 82,113.62 and 13,189.41 is: 19,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.41 : 82,113.62 = 13,189.41 : x
  2. Step 2: Convert to fraction form
    54,742.41/82,113.62 = 13,189.41/x
  3. Step 3: Cross multiply
    54,742.41x = 82,113.62 × 13,189.41
  4. Step 4: Simplify right side
    54,742.41x = 1,083,030,134.82
  5. Step 5: Solve for x
    x = 1,083,030,134.82/54,742.41
  6. Step 6: Final answer
    x = 19,784.12

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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.