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Finding the Fourth Proportional to 98,267.94, 135,610.22 and 55,828.80

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Solution

The fourth proportional to 98,267.94, 135,610.22 and 55,828.80 is: 77,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,267.94 : 135,610.22 = 55,828.80 : x
  2. Step 2: Convert to fraction form
    98,267.94/135,610.22 = 55,828.80/x
  3. Step 3: Cross multiply
    98,267.94x = 135,610.22 × 55,828.80
  4. Step 4: Simplify right side
    98,267.94x = 7,570,955,850.34
  5. Step 5: Solve for x
    x = 7,570,955,850.34/98,267.94
  6. Step 6: Final answer
    x = 77,044.01

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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.