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Finding the Fourth Proportional to 53,180, 79,763.82 and 13,734.01

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Solution

The fourth proportional to 53,180, 79,763.82 and 13,734.01 is: 20,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,180 : 79,763.82 = 13,734.01 : x
  2. Step 2: Convert to fraction form
    53,180/79,763.82 = 13,734.01/x
  3. Step 3: Cross multiply
    53,180x = 79,763.82 × 13,734.01
  4. Step 4: Simplify right side
    53,180x = 1,095,477,101.52
  5. Step 5: Solve for x
    x = 1,095,477,101.52/53,180
  6. Step 6: Final answer
    x = 20,599.42

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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.