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Finding the Fourth Proportional to 53,205.94, 79,809.18 and 15,766.84

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Solution

The fourth proportional to 53,205.94, 79,809.18 and 15,766.84 is: 23,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.94 : 79,809.18 = 15,766.84 : x
  2. Step 2: Convert to fraction form
    53,205.94/79,809.18 = 15,766.84/x
  3. Step 3: Cross multiply
    53,205.94x = 79,809.18 × 15,766.84
  4. Step 4: Simplify right side
    53,205.94x = 1,258,338,571.59
  5. Step 5: Solve for x
    x = 1,258,338,571.59/53,205.94
  6. Step 6: Final answer
    x = 23,650.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.