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Finding the Fourth Proportional to 40,205.66, 55,438.56 and 25,650.50

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Solution

The fourth proportional to 40,205.66, 55,438.56 and 25,650.50 is: 35,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,205.66 : 55,438.56 = 25,650.50 : x
  2. Step 2: Convert to fraction form
    40,205.66/55,438.56 = 25,650.50/x
  3. Step 3: Cross multiply
    40,205.66x = 55,438.56 × 25,650.50
  4. Step 4: Simplify right side
    40,205.66x = 1,422,026,783.28
  5. Step 5: Solve for x
    x = 1,422,026,783.28/40,205.66
  6. Step 6: Final answer
    x = 35,368.82

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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.