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Finding the Fourth Proportional to 37,038.50, 51,114.21 and 20,272.58

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Solution

The fourth proportional to 37,038.50, 51,114.21 and 20,272.58 is: 27,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.50 : 51,114.21 = 20,272.58 : x
  2. Step 2: Convert to fraction form
    37,038.50/51,114.21 = 20,272.58/x
  3. Step 3: Cross multiply
    37,038.50x = 51,114.21 × 20,272.58
  4. Step 4: Simplify right side
    37,038.50x = 1,036,216,911.36
  5. Step 5: Solve for x
    x = 1,036,216,911.36/37,038.50
  6. Step 6: Final answer
    x = 27,976.75

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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.