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Finding the Fourth Proportional to 98,105.95, 135,412.09 and 57,846.53

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Solution

The fourth proportional to 98,105.95, 135,412.09 and 57,846.53 is: 79,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,105.95 : 135,412.09 = 57,846.53 : x
  2. Step 2: Convert to fraction form
    98,105.95/135,412.09 = 57,846.53/x
  3. Step 3: Cross multiply
    98,105.95x = 135,412.09 × 57,846.53
  4. Step 4: Simplify right side
    98,105.95x = 7,833,118,849.49
  5. Step 5: Solve for x
    x = 7,833,118,849.49/98,105.95
  6. Step 6: Final answer
    x = 79,843.47

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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.