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Finding the Fourth Proportional to 51,309.70, 76,964.55 and 40,941.70

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Solution

The fourth proportional to 51,309.70, 76,964.55 and 40,941.70 is: 61,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309.70 : 76,964.55 = 40,941.70 : x
  2. Step 2: Convert to fraction form
    51,309.70/76,964.55 = 40,941.70/x
  3. Step 3: Cross multiply
    51,309.70x = 76,964.55 × 40,941.70
  4. Step 4: Simplify right side
    51,309.70x = 3,151,059,516.74
  5. Step 5: Solve for x
    x = 3,151,059,516.74/51,309.70
  6. Step 6: Final answer
    x = 61,412.55

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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.