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Finding the Fourth Proportional to 85,409.60, 128,114.40 and 54,382.40

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Solution

The fourth proportional to 85,409.60, 128,114.40 and 54,382.40 is: 81,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.60 : 128,114.40 = 54,382.40 : x
  2. Step 2: Convert to fraction form
    85,409.60/128,114.40 = 54,382.40/x
  3. Step 3: Cross multiply
    85,409.60x = 128,114.40 × 54,382.40
  4. Step 4: Simplify right side
    85,409.60x = 6,967,168,546.56
  5. Step 5: Solve for x
    x = 6,967,168,546.56/85,409.60
  6. Step 6: Final answer
    x = 81,573.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.