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Finding the Fourth Proportional to 31,451, 43,402.38 and 17,303.54

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Solution

The fourth proportional to 31,451, 43,402.38 and 17,303.54 is: 23,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451 : 43,402.38 = 17,303.54 : x
  2. Step 2: Convert to fraction form
    31,451/43,402.38 = 17,303.54/x
  3. Step 3: Cross multiply
    31,451x = 43,402.38 × 17,303.54
  4. Step 4: Simplify right side
    31,451x = 751,014,818.43
  5. Step 5: Solve for x
    x = 751,014,818.43/31,451
  6. Step 6: Final answer
    x = 23,878.89

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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.