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Finding the Fourth Proportional to 56,746, 78,310.92 and 31,594.96

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Solution

The fourth proportional to 56,746, 78,310.92 and 31,594.96 is: 43,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,746 : 78,310.92 = 31,594.96 : x
  2. Step 2: Convert to fraction form
    56,746/78,310.92 = 31,594.96/x
  3. Step 3: Cross multiply
    56,746x = 78,310.92 × 31,594.96
  4. Step 4: Simplify right side
    56,746x = 2,474,230,384.96
  5. Step 5: Solve for x
    x = 2,474,230,384.96/56,746
  6. Step 6: Final answer
    x = 43,601.85

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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.