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Finding the Fourth Proportional to 83,367.01, 115,057.43 and 47,548.81

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Solution

The fourth proportional to 83,367.01, 115,057.43 and 47,548.81 is: 65,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,367.01 : 115,057.43 = 47,548.81 : x
  2. Step 2: Convert to fraction form
    83,367.01/115,057.43 = 47,548.81/x
  3. Step 3: Cross multiply
    83,367.01x = 115,057.43 × 47,548.81
  4. Step 4: Simplify right side
    83,367.01x = 5,470,843,878.16
  5. Step 5: Solve for x
    x = 5,470,843,878.16/83,367.01
  6. Step 6: Final answer
    x = 65,623.61

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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.