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Finding the Fourth Proportional to 83,227.87, 114,822.18 and 53,007.77

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Solution

The fourth proportional to 83,227.87, 114,822.18 and 53,007.77 is: 73,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.87 : 114,822.18 = 53,007.77 : x
  2. Step 2: Convert to fraction form
    83,227.87/114,822.18 = 53,007.77/x
  3. Step 3: Cross multiply
    83,227.87x = 114,822.18 × 53,007.77
  4. Step 4: Simplify right side
    83,227.87x = 6,086,467,708.34
  5. Step 5: Solve for x
    x = 6,086,467,708.34/83,227.87
  6. Step 6: Final answer
    x = 73,130.16

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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.