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Finding the Fourth Proportional to 37,898, 52,298.53 and 20,903.83

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Solution

The fourth proportional to 37,898, 52,298.53 and 20,903.83 is: 28,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,898 : 52,298.53 = 20,903.83 : x
  2. Step 2: Convert to fraction form
    37,898/52,298.53 = 20,903.83/x
  3. Step 3: Cross multiply
    37,898x = 52,298.53 × 20,903.83
  4. Step 4: Simplify right side
    37,898x = 1,093,239,580.37
  5. Step 5: Solve for x
    x = 1,093,239,580.37/37,898
  6. Step 6: Final answer
    x = 28,846.89

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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.