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Finding the Fourth Proportional to 83,324.64, 114,868.38 and 59,409.80

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Solution

The fourth proportional to 83,324.64, 114,868.38 and 59,409.80 is: 81,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,324.64 : 114,868.38 = 59,409.80 : x
  2. Step 2: Convert to fraction form
    83,324.64/114,868.38 = 59,409.80/x
  3. Step 3: Cross multiply
    83,324.64x = 114,868.38 × 59,409.80
  4. Step 4: Simplify right side
    83,324.64x = 6,824,306,907.78
  5. Step 5: Solve for x
    x = 6,824,306,907.78/83,324.64
  6. Step 6: Final answer
    x = 81,900.23

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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.