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Finding the Fourth Proportional to 57,209.40, 85,822.20 and 17,762.40

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Solution

The fourth proportional to 57,209.40, 85,822.20 and 17,762.40 is: 26,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.40 : 85,822.20 = 17,762.40 : x
  2. Step 2: Convert to fraction form
    57,209.40/85,822.20 = 17,762.40/x
  3. Step 3: Cross multiply
    57,209.40x = 85,822.20 × 17,762.40
  4. Step 4: Simplify right side
    57,209.40x = 1,524,408,245.28
  5. Step 5: Solve for x
    x = 1,524,408,245.28/57,209.40
  6. Step 6: Final answer
    x = 26,646.11

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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.