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Finding the Fourth Proportional to 41,415.59, 57,155.92 and 31,188.32

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Solution

The fourth proportional to 41,415.59, 57,155.92 and 31,188.32 is: 43,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,415.59 : 57,155.92 = 31,188.32 : x
  2. Step 2: Convert to fraction form
    41,415.59/57,155.92 = 31,188.32/x
  3. Step 3: Cross multiply
    41,415.59x = 57,155.92 × 31,188.32
  4. Step 4: Simplify right side
    41,415.59x = 1,782,596,759.10
  5. Step 5: Solve for x
    x = 1,782,596,759.10/41,415.59
  6. Step 6: Final answer
    x = 43,041.68

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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.