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Finding the Fourth Proportional to 54,969.51, 82,454.46 and 13,416.51

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Solution

The fourth proportional to 54,969.51, 82,454.46 and 13,416.51 is: 20,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969.51 : 82,454.46 = 13,416.51 : x
  2. Step 2: Convert to fraction form
    54,969.51/82,454.46 = 13,416.51/x
  3. Step 3: Cross multiply
    54,969.51x = 82,454.46 × 13,416.51
  4. Step 4: Simplify right side
    54,969.51x = 1,106,251,087.13
  5. Step 5: Solve for x
    x = 1,106,251,087.13/54,969.51
  6. Step 6: Final answer
    x = 20,124.81

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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.