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Finding the Fourth Proportional to 40,057.50, 55,282.59 and 23,293.74

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Solution

The fourth proportional to 40,057.50, 55,282.59 and 23,293.74 is: 32,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057.50 : 55,282.59 = 23,293.74 : x
  2. Step 2: Convert to fraction form
    40,057.50/55,282.59 = 23,293.74/x
  3. Step 3: Cross multiply
    40,057.50x = 55,282.59 × 23,293.74
  4. Step 4: Simplify right side
    40,057.50x = 1,287,738,277.99
  5. Step 5: Solve for x
    x = 1,287,738,277.99/40,057.50
  6. Step 6: Final answer
    x = 32,147.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.