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Finding the Fourth Proportional to 57,298.35, 85,945.64 and 23,563.20

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Solution

The fourth proportional to 57,298.35, 85,945.64 and 23,563.20 is: 35,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,298.35 : 85,945.64 = 23,563.20 : x
  2. Step 2: Convert to fraction form
    57,298.35/85,945.64 = 23,563.20/x
  3. Step 3: Cross multiply
    57,298.35x = 85,945.64 × 23,563.20
  4. Step 4: Simplify right side
    57,298.35x = 2,025,154,186.63
  5. Step 5: Solve for x
    x = 2,025,154,186.63/57,298.35
  6. Step 6: Final answer
    x = 35,344.02

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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.