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Finding the Fourth Proportional to 55,369, 76,410.30 and 33,013

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Solution

The fourth proportional to 55,369, 76,410.30 and 33,013 is: 45,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369 : 76,410.30 = 33,013 : x
  2. Step 2: Convert to fraction form
    55,369/76,410.30 = 33,013/x
  3. Step 3: Cross multiply
    55,369x = 76,410.30 × 33,013
  4. Step 4: Simplify right side
    55,369x = 2,522,533,233.90
  5. Step 5: Solve for x
    x = 2,522,533,233.90/55,369
  6. Step 6: Final answer
    x = 45,558.58

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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.