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Finding the Fourth Proportional to 31,406.40, 43,343.26 and 17,981.88

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Solution

The fourth proportional to 31,406.40, 43,343.26 and 17,981.88 is: 24,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.40 : 43,343.26 = 17,981.88 : x
  2. Step 2: Convert to fraction form
    31,406.40/43,343.26 = 17,981.88/x
  3. Step 3: Cross multiply
    31,406.40x = 43,343.26 × 17,981.88
  4. Step 4: Simplify right side
    31,406.40x = 779,393,300.13
  5. Step 5: Solve for x
    x = 779,393,300.13/31,406.40
  6. Step 6: Final answer
    x = 24,816.38

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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.