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Finding the Fourth Proportional to 53,208.68, 79,777.27 and 21,166.53

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Solution

The fourth proportional to 53,208.68, 79,777.27 and 21,166.53 is: 31,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,208.68 : 79,777.27 = 21,166.53 : x
  2. Step 2: Convert to fraction form
    53,208.68/79,777.27 = 21,166.53/x
  3. Step 3: Cross multiply
    53,208.68x = 79,777.27 × 21,166.53
  4. Step 4: Simplify right side
    53,208.68x = 1,688,608,022.60
  5. Step 5: Solve for x
    x = 1,688,608,022.60/53,208.68
  6. Step 6: Final answer
    x = 31,735.57

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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.