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Finding the Fourth Proportional to 38,646.43, 57,991.56 and 16,457.49

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Solution

The fourth proportional to 38,646.43, 57,991.56 and 16,457.49 is: 24,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646.43 : 57,991.56 = 16,457.49 : x
  2. Step 2: Convert to fraction form
    38,646.43/57,991.56 = 16,457.49/x
  3. Step 3: Cross multiply
    38,646.43x = 57,991.56 × 16,457.49
  4. Step 4: Simplify right side
    38,646.43x = 954,395,518.78
  5. Step 5: Solve for x
    x = 954,395,518.78/38,646.43
  6. Step 6: Final answer
    x = 24,695.57

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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.