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Finding the Fourth Proportional to 41,662.50, 57,424.32 and 31,587.72

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Solution

The fourth proportional to 41,662.50, 57,424.32 and 31,587.72 is: 43,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,662.50 : 57,424.32 = 31,587.72 : x
  2. Step 2: Convert to fraction form
    41,662.50/57,424.32 = 31,587.72/x
  3. Step 3: Cross multiply
    41,662.50x = 57,424.32 × 31,587.72
  4. Step 4: Simplify right side
    41,662.50x = 1,813,903,341.35
  5. Step 5: Solve for x
    x = 1,813,903,341.35/41,662.50
  6. Step 6: Final answer
    x = 43,538.03

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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.