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Finding the Fourth Proportional to 57,165.60, 85,792.80 and 37,438.56

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Solution

The fourth proportional to 57,165.60, 85,792.80 and 37,438.56 is: 56,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,165.60 : 85,792.80 = 37,438.56 : x
  2. Step 2: Convert to fraction form
    57,165.60/85,792.80 = 37,438.56/x
  3. Step 3: Cross multiply
    57,165.60x = 85,792.80 × 37,438.56
  4. Step 4: Simplify right side
    57,165.60x = 3,211,958,890.37
  5. Step 5: Solve for x
    x = 3,211,958,890.37/57,165.60
  6. Step 6: Final answer
    x = 56,186.92

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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.