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Finding the Fourth Proportional to 98,380.74, 135,748.47 and 55,354.26

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Solution

The fourth proportional to 98,380.74, 135,748.47 and 55,354.26 is: 76,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,380.74 : 135,748.47 = 55,354.26 : x
  2. Step 2: Convert to fraction form
    98,380.74/135,748.47 = 55,354.26/x
  3. Step 3: Cross multiply
    98,380.74x = 135,748.47 × 55,354.26
  4. Step 4: Simplify right side
    98,380.74x = 7,514,256,102.98
  5. Step 5: Solve for x
    x = 7,514,256,102.98/98,380.74
  6. Step 6: Final answer
    x = 76,379.34

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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.