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Finding the Fourth Proportional to 85,237.75, 117,628.10 and 47,512

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Solution

The fourth proportional to 85,237.75, 117,628.10 and 47,512 is: 65,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,237.75 : 117,628.10 = 47,512 : x
  2. Step 2: Convert to fraction form
    85,237.75/117,628.10 = 47,512/x
  3. Step 3: Cross multiply
    85,237.75x = 117,628.10 × 47,512
  4. Step 4: Simplify right side
    85,237.75x = 5,588,746,287.20
  5. Step 5: Solve for x
    x = 5,588,746,287.20/85,237.75
  6. Step 6: Final answer
    x = 65,566.56

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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.