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Finding the Fourth Proportional to 31,420.50, 43,357.72 and 18,497.73

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Solution

The fourth proportional to 31,420.50, 43,357.72 and 18,497.73 is: 25,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.50 : 43,357.72 = 18,497.73 : x
  2. Step 2: Convert to fraction form
    31,420.50/43,357.72 = 18,497.73/x
  3. Step 3: Cross multiply
    31,420.50x = 43,357.72 × 18,497.73
  4. Step 4: Simplify right side
    31,420.50x = 802,019,088.70
  5. Step 5: Solve for x
    x = 802,019,088.70/31,420.50
  6. Step 6: Final answer
    x = 25,525.34

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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.