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Finding the Fourth Proportional to 98,051.34, 135,305.88 and 55,613.82

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Solution

The fourth proportional to 98,051.34, 135,305.88 and 55,613.82 is: 76,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,051.34 : 135,305.88 = 55,613.82 : x
  2. Step 2: Convert to fraction form
    98,051.34/135,305.88 = 55,613.82/x
  3. Step 3: Cross multiply
    98,051.34x = 135,305.88 × 55,613.82
  4. Step 4: Simplify right side
    98,051.34x = 7,524,876,855.26
  5. Step 5: Solve for x
    x = 7,524,876,855.26/98,051.34
  6. Step 6: Final answer
    x = 76,744.25

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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.