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Finding the Fourth Proportional to 37,463.28, 56,189.25 and 14,084.25

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Solution

The fourth proportional to 37,463.28, 56,189.25 and 14,084.25 is: 21,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,463.28 : 56,189.25 = 14,084.25 : x
  2. Step 2: Convert to fraction form
    37,463.28/56,189.25 = 14,084.25/x
  3. Step 3: Cross multiply
    37,463.28x = 56,189.25 × 14,084.25
  4. Step 4: Simplify right side
    37,463.28x = 791,383,444.31
  5. Step 5: Solve for x
    x = 791,383,444.31/37,463.28
  6. Step 6: Final answer
    x = 21,124.24

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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.