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Finding the Fourth Proportional to 37,205.68, 51,301.98 and 28,688.52

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Solution

The fourth proportional to 37,205.68, 51,301.98 and 28,688.52 is: 39,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.68 : 51,301.98 = 28,688.52 : x
  2. Step 2: Convert to fraction form
    37,205.68/51,301.98 = 28,688.52/x
  3. Step 3: Cross multiply
    37,205.68x = 51,301.98 × 28,688.52
  4. Step 4: Simplify right side
    37,205.68x = 1,471,777,879.27
  5. Step 5: Solve for x
    x = 1,471,777,879.27/37,205.68
  6. Step 6: Final answer
    x = 39,557.88

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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.