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Finding the Fourth Proportional to 37,032.20, 51,104.16 and 20,265.20

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Solution

The fourth proportional to 37,032.20, 51,104.16 and 20,265.20 is: 27,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,032.20 : 51,104.16 = 20,265.20 : x
  2. Step 2: Convert to fraction form
    37,032.20/51,104.16 = 20,265.20/x
  3. Step 3: Cross multiply
    37,032.20x = 51,104.16 × 20,265.20
  4. Step 4: Simplify right side
    37,032.20x = 1,035,636,023.23
  5. Step 5: Solve for x
    x = 1,035,636,023.23/37,032.20
  6. Step 6: Final answer
    x = 27,965.82

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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.