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Finding the Fourth Proportional to 83,466.36, 115,182.34 and 45,224.84

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Solution

The fourth proportional to 83,466.36, 115,182.34 and 45,224.84 is: 62,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466.36 : 115,182.34 = 45,224.84 : x
  2. Step 2: Convert to fraction form
    83,466.36/115,182.34 = 45,224.84/x
  3. Step 3: Cross multiply
    83,466.36x = 115,182.34 × 45,224.84
  4. Step 4: Simplify right side
    83,466.36x = 5,209,103,072.22
  5. Step 5: Solve for x
    x = 5,209,103,072.22/83,466.36
  6. Step 6: Final answer
    x = 62,409.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.