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Finding the Fourth Proportional to 81,683.94, 122,416.89 and 43,655.25

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Solution

The fourth proportional to 81,683.94, 122,416.89 and 43,655.25 is: 65,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,683.94 : 122,416.89 = 43,655.25 : x
  2. Step 2: Convert to fraction form
    81,683.94/122,416.89 = 43,655.25/x
  3. Step 3: Cross multiply
    81,683.94x = 122,416.89 × 43,655.25
  4. Step 4: Simplify right side
    81,683.94x = 5,344,139,937.17
  5. Step 5: Solve for x
    x = 5,344,139,937.17/81,683.94
  6. Step 6: Final answer
    x = 65,424.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.