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Finding the Fourth Proportional to 56,924.77, 78,558.81 and 31,434.73

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Solution

The fourth proportional to 56,924.77, 78,558.81 and 31,434.73 is: 43,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,924.77 : 78,558.81 = 31,434.73 : x
  2. Step 2: Convert to fraction form
    56,924.77/78,558.81 = 31,434.73/x
  3. Step 3: Cross multiply
    56,924.77x = 78,558.81 × 31,434.73
  4. Step 4: Simplify right side
    56,924.77x = 2,469,474,981.47
  5. Step 5: Solve for x
    x = 2,469,474,981.47/56,924.77
  6. Step 6: Final answer
    x = 43,381.38

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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.