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Finding the Fourth Proportional to 41,652.87, 57,462.70 and 24,416.50

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Solution

The fourth proportional to 41,652.87, 57,462.70 and 24,416.50 is: 33,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,652.87 : 57,462.70 = 24,416.50 : x
  2. Step 2: Convert to fraction form
    41,652.87/57,462.70 = 24,416.50/x
  3. Step 3: Cross multiply
    41,652.87x = 57,462.70 × 24,416.50
  4. Step 4: Simplify right side
    41,652.87x = 1,403,038,014.55
  5. Step 5: Solve for x
    x = 1,403,038,014.55/41,652.87
  6. Step 6: Final answer
    x = 33,684.07

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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.