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Finding the Fourth Proportional to 41,311.55, 57,010 and 23,407.77

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Solution

The fourth proportional to 41,311.55, 57,010 and 23,407.77 is: 32,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,311.55 : 57,010 = 23,407.77 : x
  2. Step 2: Convert to fraction form
    41,311.55/57,010 = 23,407.77/x
  3. Step 3: Cross multiply
    41,311.55x = 57,010 × 23,407.77
  4. Step 4: Simplify right side
    41,311.55x = 1,334,476,967.70
  5. Step 5: Solve for x
    x = 1,334,476,967.70/41,311.55
  6. Step 6: Final answer
    x = 32,302.76

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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.