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Finding the Fourth Proportional to 37,648.67, 56,362.04 and 32,977.80

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Solution

The fourth proportional to 37,648.67, 56,362.04 and 32,977.80 is: 49,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.67 : 56,362.04 = 32,977.80 : x
  2. Step 2: Convert to fraction form
    37,648.67/56,362.04 = 32,977.80/x
  3. Step 3: Cross multiply
    37,648.67x = 56,362.04 × 32,977.80
  4. Step 4: Simplify right side
    37,648.67x = 1,858,696,082.71
  5. Step 5: Solve for x
    x = 1,858,696,082.71/37,648.67
  6. Step 6: Final answer
    x = 49,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.