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Finding the Fourth Proportional to 54,760.41, 82,140.66 and 13,207.41

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Solution

The fourth proportional to 54,760.41, 82,140.66 and 13,207.41 is: 19,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,760.41 : 82,140.66 = 13,207.41 : x
  2. Step 2: Convert to fraction form
    54,760.41/82,140.66 = 13,207.41/x
  3. Step 3: Cross multiply
    54,760.41x = 82,140.66 × 13,207.41
  4. Step 4: Simplify right side
    54,760.41x = 1,084,865,374.29
  5. Step 5: Solve for x
    x = 1,084,865,374.29/54,760.41
  6. Step 6: Final answer
    x = 19,811.13

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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.