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Finding the Fourth Proportional to 98,424.24, 135,843.98 and 61,647.52

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Solution

The fourth proportional to 98,424.24, 135,843.98 and 61,647.52 is: 85,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,424.24 : 135,843.98 = 61,647.52 : x
  2. Step 2: Convert to fraction form
    98,424.24/135,843.98 = 61,647.52/x
  3. Step 3: Cross multiply
    98,424.24x = 135,843.98 × 61,647.52
  4. Step 4: Simplify right side
    98,424.24x = 8,374,444,473.93
  5. Step 5: Solve for x
    x = 8,374,444,473.93/98,424.24
  6. Step 6: Final answer
    x = 85,085.18

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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.