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Finding the Fourth Proportional to 51,502.71, 77,297.81 and 36,747.75

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Solution

The fourth proportional to 51,502.71, 77,297.81 and 36,747.75 is: 55,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,502.71 : 77,297.81 = 36,747.75 : x
  2. Step 2: Convert to fraction form
    51,502.71/77,297.81 = 36,747.75/x
  3. Step 3: Cross multiply
    51,502.71x = 77,297.81 × 36,747.75
  4. Step 4: Simplify right side
    51,502.71x = 2,840,520,597.43
  5. Step 5: Solve for x
    x = 2,840,520,597.43/51,502.71
  6. Step 6: Final answer
    x = 55,152.84

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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.