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Finding the Fourth Proportional to 56,493.32, 77,960.39 and 31,342.82

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Solution

The fourth proportional to 56,493.32, 77,960.39 and 31,342.82 is: 43,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.32 : 77,960.39 = 31,342.82 : x
  2. Step 2: Convert to fraction form
    56,493.32/77,960.39 = 31,342.82/x
  3. Step 3: Cross multiply
    56,493.32x = 77,960.39 × 31,342.82
  4. Step 4: Simplify right side
    56,493.32x = 2,443,497,924.38
  5. Step 5: Solve for x
    x = 2,443,497,924.38/56,493.32
  6. Step 6: Final answer
    x = 43,252.87

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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.