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Finding the Fourth Proportional to 38,448.81, 57,672 and 16,256.16

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Solution

The fourth proportional to 38,448.81, 57,672 and 16,256.16 is: 24,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448.81 : 57,672 = 16,256.16 : x
  2. Step 2: Convert to fraction form
    38,448.81/57,672 = 16,256.16/x
  3. Step 3: Cross multiply
    38,448.81x = 57,672 × 16,256.16
  4. Step 4: Simplify right side
    38,448.81x = 937,525,259.52
  5. Step 5: Solve for x
    x = 937,525,259.52/38,448.81
  6. Step 6: Final answer
    x = 24,383.73

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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.