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Finding the Fourth Proportional to 56,857.80, 78,462.79 and 31,366.61

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Solution

The fourth proportional to 56,857.80, 78,462.79 and 31,366.61 is: 43,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,857.80 : 78,462.79 = 31,366.61 : x
  2. Step 2: Convert to fraction form
    56,857.80/78,462.79 = 31,366.61/x
  3. Step 3: Cross multiply
    56,857.80x = 78,462.79 × 31,366.61
  4. Step 4: Simplify right side
    56,857.80x = 2,461,111,418.98
  5. Step 5: Solve for x
    x = 2,461,111,418.98/56,857.80
  6. Step 6: Final answer
    x = 43,285.38

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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.