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Finding the Fourth Proportional to 98,425.74, 135,846.05 and 61,649.02

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Solution

The fourth proportional to 98,425.74, 135,846.05 and 61,649.02 is: 85,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,425.74 : 135,846.05 = 61,649.02 : x
  2. Step 2: Convert to fraction form
    98,425.74/135,846.05 = 61,649.02/x
  3. Step 3: Cross multiply
    98,425.74x = 135,846.05 × 61,649.02
  4. Step 4: Simplify right side
    98,425.74x = 8,374,775,853.37
  5. Step 5: Solve for x
    x = 8,374,775,853.37/98,425.74
  6. Step 6: Final answer
    x = 85,087.25

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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.