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Finding the Fourth Proportional to 85,219.86, 117,604 and 47,496.54

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Solution

The fourth proportional to 85,219.86, 117,604 and 47,496.54 is: 65,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,219.86 : 117,604 = 47,496.54 : x
  2. Step 2: Convert to fraction form
    85,219.86/117,604 = 47,496.54/x
  3. Step 3: Cross multiply
    85,219.86x = 117,604 × 47,496.54
  4. Step 4: Simplify right side
    85,219.86x = 5,585,783,090.16
  5. Step 5: Solve for x
    x = 5,585,783,090.16/85,219.86
  6. Step 6: Final answer
    x = 65,545.56

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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.