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Finding the Fourth Proportional to 56,634.42, 78,155.79 and 31,142.42

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Solution

The fourth proportional to 56,634.42, 78,155.79 and 31,142.42 is: 42,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,634.42 : 78,155.79 = 31,142.42 : x
  2. Step 2: Convert to fraction form
    56,634.42/78,155.79 = 31,142.42/x
  3. Step 3: Cross multiply
    56,634.42x = 78,155.79 × 31,142.42
  4. Step 4: Simplify right side
    56,634.42x = 2,433,960,046.83
  5. Step 5: Solve for x
    x = 2,433,960,046.83/56,634.42
  6. Step 6: Final answer
    x = 42,976.69

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