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Finding the Fourth Proportional to 53,469.84, 73,821.84 and 34,357.32

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Solution

The fourth proportional to 53,469.84, 73,821.84 and 34,357.32 is: 47,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469.84 : 73,821.84 = 34,357.32 : x
  2. Step 2: Convert to fraction form
    53,469.84/73,821.84 = 34,357.32/x
  3. Step 3: Cross multiply
    53,469.84x = 73,821.84 × 34,357.32
  4. Step 4: Simplify right side
    53,469.84x = 2,536,320,579.87
  5. Step 5: Solve for x
    x = 2,536,320,579.87/53,469.84
  6. Step 6: Final answer
    x = 47,434.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.