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Finding the Fourth Proportional to 38,457.60, 57,686.40 and 23,683.20

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Solution

The fourth proportional to 38,457.60, 57,686.40 and 23,683.20 is: 35,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.60 : 57,686.40 = 23,683.20 : x
  2. Step 2: Convert to fraction form
    38,457.60/57,686.40 = 23,683.20/x
  3. Step 3: Cross multiply
    38,457.60x = 57,686.40 × 23,683.20
  4. Step 4: Simplify right side
    38,457.60x = 1,366,198,548.48
  5. Step 5: Solve for x
    x = 1,366,198,548.48/38,457.60
  6. Step 6: Final answer
    x = 35,524.80

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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.