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Finding the Fourth Proportional to 31,690.86, 43,738 and 18,259.52

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Solution

The fourth proportional to 31,690.86, 43,738 and 18,259.52 is: 25,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.86 : 43,738 = 18,259.52 : x
  2. Step 2: Convert to fraction form
    31,690.86/43,738 = 18,259.52/x
  3. Step 3: Cross multiply
    31,690.86x = 43,738 × 18,259.52
  4. Step 4: Simplify right side
    31,690.86x = 798,634,885.76
  5. Step 5: Solve for x
    x = 798,634,885.76/31,690.86
  6. Step 6: Final answer
    x = 25,200.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.