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Finding the Fourth Proportional to 98,469, 135,887.22 and 56,052

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Solution

The fourth proportional to 98,469, 135,887.22 and 56,052 is: 77,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469 : 135,887.22 = 56,052 : x
  2. Step 2: Convert to fraction form
    98,469/135,887.22 = 56,052/x
  3. Step 3: Cross multiply
    98,469x = 135,887.22 × 56,052
  4. Step 4: Simplify right side
    98,469x = 7,616,750,455.44
  5. Step 5: Solve for x
    x = 7,616,750,455.44/98,469
  6. Step 6: Final answer
    x = 77,351.76

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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.