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Finding the Fourth Proportional to 38,534.72, 57,814.42 and 16,366.72

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Solution

The fourth proportional to 38,534.72, 57,814.42 and 16,366.72 is: 24,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.72 : 57,814.42 = 16,366.72 : x
  2. Step 2: Convert to fraction form
    38,534.72/57,814.42 = 16,366.72/x
  3. Step 3: Cross multiply
    38,534.72x = 57,814.42 × 16,366.72
  4. Step 4: Simplify right side
    38,534.72x = 946,232,424.10
  5. Step 5: Solve for x
    x = 946,232,424.10/38,534.72
  6. Step 6: Final answer
    x = 24,555.32

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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.