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Finding the Fourth Proportional to 52,878.43, 79,161.81 and 46,317.43

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Solution

The fourth proportional to 52,878.43, 79,161.81 and 46,317.43 is: 69,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.43 : 79,161.81 = 46,317.43 : x
  2. Step 2: Convert to fraction form
    52,878.43/79,161.81 = 46,317.43/x
  3. Step 3: Cross multiply
    52,878.43x = 79,161.81 × 46,317.43
  4. Step 4: Simplify right side
    52,878.43x = 3,666,571,593.35
  5. Step 5: Solve for x
    x = 3,666,571,593.35/52,878.43
  6. Step 6: Final answer
    x = 69,339.65

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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.