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Finding the Fourth Proportional to 85,083.80, 117,415.60 and 47,366.96

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Solution

The fourth proportional to 85,083.80, 117,415.60 and 47,366.96 is: 65,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,083.80 : 117,415.60 = 47,366.96 : x
  2. Step 2: Convert to fraction form
    85,083.80/117,415.60 = 47,366.96/x
  3. Step 3: Cross multiply
    85,083.80x = 117,415.60 × 47,366.96
  4. Step 4: Simplify right side
    85,083.80x = 5,561,619,323.08
  5. Step 5: Solve for x
    x = 5,561,619,323.08/85,083.80
  6. Step 6: Final answer
    x = 65,366.38

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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.