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Finding the Fourth Proportional to 37,056.26, 51,141.90 and 21,143

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Solution

The fourth proportional to 37,056.26, 51,141.90 and 21,143 is: 29,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056.26 : 51,141.90 = 21,143 : x
  2. Step 2: Convert to fraction form
    37,056.26/51,141.90 = 21,143/x
  3. Step 3: Cross multiply
    37,056.26x = 51,141.90 × 21,143
  4. Step 4: Simplify right side
    37,056.26x = 1,081,293,191.70
  5. Step 5: Solve for x
    x = 1,081,293,191.70/37,056.26
  6. Step 6: Final answer
    x = 29,179.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.