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Finding the Fourth Proportional to 37,576.06, 51,856.38 and 21,446

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Solution

The fourth proportional to 37,576.06, 51,856.38 and 21,446 is: 29,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,576.06 : 51,856.38 = 21,446 : x
  2. Step 2: Convert to fraction form
    37,576.06/51,856.38 = 21,446/x
  3. Step 3: Cross multiply
    37,576.06x = 51,856.38 × 21,446
  4. Step 4: Simplify right side
    37,576.06x = 1,112,111,925.48
  5. Step 5: Solve for x
    x = 1,112,111,925.48/37,576.06
  6. Step 6: Final answer
    x = 29,596.29

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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.