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Finding the Fourth Proportional to 31,205.78, 43,068.02 and 17,781.86

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Solution

The fourth proportional to 31,205.78, 43,068.02 and 17,781.86 is: 24,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.78 : 43,068.02 = 17,781.86 : x
  2. Step 2: Convert to fraction form
    31,205.78/43,068.02 = 17,781.86/x
  3. Step 3: Cross multiply
    31,205.78x = 43,068.02 × 17,781.86
  4. Step 4: Simplify right side
    31,205.78x = 765,829,502.12
  5. Step 5: Solve for x
    x = 765,829,502.12/31,205.78
  6. Step 6: Final answer
    x = 24,541.27

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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.