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Finding the Fourth Proportional to 72,213.60, 99,657.46 and 40,382.42

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Solution

The fourth proportional to 72,213.60, 99,657.46 and 40,382.42 is: 55,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,213.60 : 99,657.46 = 40,382.42 : x
  2. Step 2: Convert to fraction form
    72,213.60/99,657.46 = 40,382.42/x
  3. Step 3: Cross multiply
    72,213.60x = 99,657.46 × 40,382.42
  4. Step 4: Simplify right side
    72,213.60x = 4,024,409,405.85
  5. Step 5: Solve for x
    x = 4,024,409,405.85/72,213.60
  6. Step 6: Final answer
    x = 55,729.24

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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.