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Finding the Fourth Proportional to 51,343.44, 77,042.24 and 36,446.76

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Solution

The fourth proportional to 51,343.44, 77,042.24 and 36,446.76 is: 54,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,343.44 : 77,042.24 = 36,446.76 : x
  2. Step 2: Convert to fraction form
    51,343.44/77,042.24 = 36,446.76/x
  3. Step 3: Cross multiply
    51,343.44x = 77,042.24 × 36,446.76
  4. Step 4: Simplify right side
    51,343.44x = 2,807,939,985.58
  5. Step 5: Solve for x
    x = 2,807,939,985.58/51,343.44
  6. Step 6: Final answer
    x = 54,689.37

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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.