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Finding the Fourth Proportional to 98,795, 136,337.10 and 54,083

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Solution

The fourth proportional to 98,795, 136,337.10 and 54,083 is: 74,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,795 : 136,337.10 = 54,083 : x
  2. Step 2: Convert to fraction form
    98,795/136,337.10 = 54,083/x
  3. Step 3: Cross multiply
    98,795x = 136,337.10 × 54,083
  4. Step 4: Simplify right side
    98,795x = 7,373,519,379.30
  5. Step 5: Solve for x
    x = 7,373,519,379.30/98,795
  6. Step 6: Final answer
    x = 74,634.54

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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.