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Finding the Fourth Proportional to 37,214, 51,355.32 and 20,447

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Solution

The fourth proportional to 37,214, 51,355.32 and 20,447 is: 28,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214 : 51,355.32 = 20,447 : x
  2. Step 2: Convert to fraction form
    37,214/51,355.32 = 20,447/x
  3. Step 3: Cross multiply
    37,214x = 51,355.32 × 20,447
  4. Step 4: Simplify right side
    37,214x = 1,050,062,228.04
  5. Step 5: Solve for x
    x = 1,050,062,228.04/37,214
  6. Step 6: Final answer
    x = 28,216.86

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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.