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Finding the Fourth Proportional to 56,491.94, 77,958.92 and 31,341.44

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Solution

The fourth proportional to 56,491.94, 77,958.92 and 31,341.44 is: 43,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.94 : 77,958.92 = 31,341.44 : x
  2. Step 2: Convert to fraction form
    56,491.94/77,958.92 = 31,341.44/x
  3. Step 3: Cross multiply
    56,491.94x = 77,958.92 × 31,341.44
  4. Step 4: Simplify right side
    56,491.94x = 2,443,344,813.64
  5. Step 5: Solve for x
    x = 2,443,344,813.64/56,491.94
  6. Step 6: Final answer
    x = 43,251.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.