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Finding the Fourth Proportional to 82,993.02, 114,530.67 and 47,194.80

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Solution

The fourth proportional to 82,993.02, 114,530.67 and 47,194.80 is: 65,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.02 : 114,530.67 = 47,194.80 : x
  2. Step 2: Convert to fraction form
    82,993.02/114,530.67 = 47,194.80/x
  3. Step 3: Cross multiply
    82,993.02x = 114,530.67 × 47,194.80
  4. Step 4: Simplify right side
    82,993.02x = 5,405,252,064.52
  5. Step 5: Solve for x
    x = 5,405,252,064.52/82,993.02
  6. Step 6: Final answer
    x = 65,129.00

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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.