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Finding the Fourth Proportional to 37,028.30, 51,098.85 and 20,032.50

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Solution

The fourth proportional to 37,028.30, 51,098.85 and 20,032.50 is: 27,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,028.30 : 51,098.85 = 20,032.50 : x
  2. Step 2: Convert to fraction form
    37,028.30/51,098.85 = 20,032.50/x
  3. Step 3: Cross multiply
    37,028.30x = 51,098.85 × 20,032.50
  4. Step 4: Simplify right side
    37,028.30x = 1,023,637,712.63
  5. Step 5: Solve for x
    x = 1,023,637,712.63/37,028.30
  6. Step 6: Final answer
    x = 27,644.74

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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.