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Finding the Fourth Proportional to 85,010.40, 127,564.20 and 32,457.60

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Solution

The fourth proportional to 85,010.40, 127,564.20 and 32,457.60 is: 48,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,010.40 : 127,564.20 = 32,457.60 : x
  2. Step 2: Convert to fraction form
    85,010.40/127,564.20 = 32,457.60/x
  3. Step 3: Cross multiply
    85,010.40x = 127,564.20 × 32,457.60
  4. Step 4: Simplify right side
    85,010.40x = 4,140,427,777.92
  5. Step 5: Solve for x
    x = 4,140,427,777.92/85,010.40
  6. Step 6: Final answer
    x = 48,704.96

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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.