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Finding the Fourth Proportional to 85,504.50, 117,996.21 and 47,782.26

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Solution

The fourth proportional to 85,504.50, 117,996.21 and 47,782.26 is: 65,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,504.50 : 117,996.21 = 47,782.26 : x
  2. Step 2: Convert to fraction form
    85,504.50/117,996.21 = 47,782.26/x
  3. Step 3: Cross multiply
    85,504.50x = 117,996.21 × 47,782.26
  4. Step 4: Simplify right side
    85,504.50x = 5,638,125,585.23
  5. Step 5: Solve for x
    x = 5,638,125,585.23/85,504.50
  6. Step 6: Final answer
    x = 65,939.52

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1.5x scale

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.