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Finding the Fourth Proportional to 31,837.74, 43,835.40 and 24,259.74

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Solution

The fourth proportional to 31,837.74, 43,835.40 and 24,259.74 is: 33,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.74 : 43,835.40 = 24,259.74 : x
  2. Step 2: Convert to fraction form
    31,837.74/43,835.40 = 24,259.74/x
  3. Step 3: Cross multiply
    31,837.74x = 43,835.40 × 24,259.74
  4. Step 4: Simplify right side
    31,837.74x = 1,063,435,406.80
  5. Step 5: Solve for x
    x = 1,063,435,406.80/31,837.74
  6. Step 6: Final answer
    x = 33,401.72

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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.