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Finding the Fourth Proportional to 31,798.88, 43,902.24 and 24,615.80

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Solution

The fourth proportional to 31,798.88, 43,902.24 and 24,615.80 is: 33,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.88 : 43,902.24 = 24,615.80 : x
  2. Step 2: Convert to fraction form
    31,798.88/43,902.24 = 24,615.80/x
  3. Step 3: Cross multiply
    31,798.88x = 43,902.24 × 24,615.80
  4. Step 4: Simplify right side
    31,798.88x = 1,080,688,759.39
  5. Step 5: Solve for x
    x = 1,080,688,759.39/31,798.88
  6. Step 6: Final answer
    x = 33,985.12

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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.