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Finding the Fourth Proportional to 38,277.84, 57,433.44 and 14,896.16

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Solution

The fourth proportional to 38,277.84, 57,433.44 and 14,896.16 is: 22,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277.84 : 57,433.44 = 14,896.16 : x
  2. Step 2: Convert to fraction form
    38,277.84/57,433.44 = 14,896.16/x
  3. Step 3: Cross multiply
    38,277.84x = 57,433.44 × 14,896.16
  4. Step 4: Simplify right side
    38,277.84x = 855,537,711.59
  5. Step 5: Solve for x
    x = 855,537,711.59/38,277.84
  6. Step 6: Final answer
    x = 22,350.73

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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.