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Finding the Fourth Proportional to 98,828.54, 136,383.46 and 53,506.54

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Solution

The fourth proportional to 98,828.54, 136,383.46 and 53,506.54 is: 73,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,828.54 : 136,383.46 = 53,506.54 : x
  2. Step 2: Convert to fraction form
    98,828.54/136,383.46 = 53,506.54/x
  3. Step 3: Cross multiply
    98,828.54x = 136,383.46 × 53,506.54
  4. Step 4: Simplify right side
    98,828.54x = 7,297,407,057.83
  5. Step 5: Solve for x
    x = 7,297,407,057.83/98,828.54
  6. Step 6: Final answer
    x = 73,839.07

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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.