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Finding the Fourth Proportional to 56,744.50, 78,309.84 and 31,594

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Solution

The fourth proportional to 56,744.50, 78,309.84 and 31,594 is: 43,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,744.50 : 78,309.84 = 31,594 : x
  2. Step 2: Convert to fraction form
    56,744.50/78,309.84 = 31,594/x
  3. Step 3: Cross multiply
    56,744.50x = 78,309.84 × 31,594
  4. Step 4: Simplify right side
    56,744.50x = 2,474,121,084.96
  5. Step 5: Solve for x
    x = 2,474,121,084.96/56,744.50
  6. Step 6: Final answer
    x = 43,601.07

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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.