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Finding the Fourth Proportional to 83,009.50, 114,553.11 and 53,201.50

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Solution

The fourth proportional to 83,009.50, 114,553.11 and 53,201.50 is: 73,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.50 : 114,553.11 = 53,201.50 : x
  2. Step 2: Convert to fraction form
    83,009.50/114,553.11 = 53,201.50/x
  3. Step 3: Cross multiply
    83,009.50x = 114,553.11 × 53,201.50
  4. Step 4: Simplify right side
    83,009.50x = 6,094,397,281.67
  5. Step 5: Solve for x
    x = 6,094,397,281.67/83,009.50
  6. Step 6: Final answer
    x = 73,418.07

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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.