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Finding the Fourth Proportional to 54,963.68, 82,503.83 and 52,164.32

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Solution

The fourth proportional to 54,963.68, 82,503.83 and 52,164.32 is: 78,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,963.68 : 82,503.83 = 52,164.32 : x
  2. Step 2: Convert to fraction form
    54,963.68/82,503.83 = 52,164.32/x
  3. Step 3: Cross multiply
    54,963.68x = 82,503.83 × 52,164.32
  4. Step 4: Simplify right side
    54,963.68x = 4,303,755,907.24
  5. Step 5: Solve for x
    x = 4,303,755,907.24/54,963.68
  6. Step 6: Final answer
    x = 78,301.82

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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.