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Finding the Fourth Proportional to 85,749.50, 128,633.16 and 23,420

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Solution

The fourth proportional to 85,749.50, 128,633.16 and 23,420 is: 35,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,749.50 : 128,633.16 = 23,420 : x
  2. Step 2: Convert to fraction form
    85,749.50/128,633.16 = 23,420/x
  3. Step 3: Cross multiply
    85,749.50x = 128,633.16 × 23,420
  4. Step 4: Simplify right side
    85,749.50x = 3,012,588,607.20
  5. Step 5: Solve for x
    x = 3,012,588,607.20/85,749.50
  6. Step 6: Final answer
    x = 35,132.43

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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.