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Finding the Fourth Proportional to 31,594, 43,599.44 and 17,446.54

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Solution

The fourth proportional to 31,594, 43,599.44 and 17,446.54 is: 24,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594 : 43,599.44 = 17,446.54 : x
  2. Step 2: Convert to fraction form
    31,594/43,599.44 = 17,446.54/x
  3. Step 3: Cross multiply
    31,594x = 43,599.44 × 17,446.54
  4. Step 4: Simplify right side
    31,594x = 760,659,373.94
  5. Step 5: Solve for x
    x = 760,659,373.94/31,594
  6. Step 6: Final answer
    x = 24,076.07

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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.