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Finding the Fourth Proportional to 51,809.70, 77,336.31 and 44,461.38

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Solution

The fourth proportional to 51,809.70, 77,336.31 and 44,461.38 is: 66,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.70 : 77,336.31 = 44,461.38 : x
  2. Step 2: Convert to fraction form
    51,809.70/77,336.31 = 44,461.38/x
  3. Step 3: Cross multiply
    51,809.70x = 77,336.31 × 44,461.38
  4. Step 4: Simplify right side
    51,809.70x = 3,438,479,066.71
  5. Step 5: Solve for x
    x = 3,438,479,066.71/51,809.70
  6. Step 6: Final answer
    x = 66,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.