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Finding the Fourth Proportional to 37,631, 51,931.14 and 20,864.36

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Solution

The fourth proportional to 37,631, 51,931.14 and 20,864.36 is: 28,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,631 : 51,931.14 = 20,864.36 : x
  2. Step 2: Convert to fraction form
    37,631/51,931.14 = 20,864.36/x
  3. Step 3: Cross multiply
    37,631x = 51,931.14 × 20,864.36
  4. Step 4: Simplify right side
    37,631x = 1,083,510,000.17
  5. Step 5: Solve for x
    x = 1,083,510,000.17/37,631
  6. Step 6: Final answer
    x = 28,793.02

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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.