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Finding the Fourth Proportional to 83,219.56, 114,843.86 and 47,409.44

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Solution

The fourth proportional to 83,219.56, 114,843.86 and 47,409.44 is: 65,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.56 : 114,843.86 = 47,409.44 : x
  2. Step 2: Convert to fraction form
    83,219.56/114,843.86 = 47,409.44/x
  3. Step 3: Cross multiply
    83,219.56x = 114,843.86 × 47,409.44
  4. Step 4: Simplify right side
    83,219.56x = 5,444,683,090.04
  5. Step 5: Solve for x
    x = 5,444,683,090.04/83,219.56
  6. Step 6: Final answer
    x = 65,425.52

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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.