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Finding the Fourth Proportional to 85,385.44, 117,821.02 and 47,661.28

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Solution

The fourth proportional to 85,385.44, 117,821.02 and 47,661.28 is: 65,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,385.44 : 117,821.02 = 47,661.28 : x
  2. Step 2: Convert to fraction form
    85,385.44/117,821.02 = 47,661.28/x
  3. Step 3: Cross multiply
    85,385.44x = 117,821.02 × 47,661.28
  4. Step 4: Simplify right side
    85,385.44x = 5,615,500,624.11
  5. Step 5: Solve for x
    x = 5,615,500,624.11/85,385.44
  6. Step 6: Final answer
    x = 65,766.49

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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.