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Finding the Fourth Proportional to 62,092.09, 85,684.71 and 35,233

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Solution

The fourth proportional to 62,092.09, 85,684.71 and 35,233 is: 48,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,092.09 : 85,684.71 = 35,233 : x
  2. Step 2: Convert to fraction form
    62,092.09/85,684.71 = 35,233/x
  3. Step 3: Cross multiply
    62,092.09x = 85,684.71 × 35,233
  4. Step 4: Simplify right side
    62,092.09x = 3,018,929,387.43
  5. Step 5: Solve for x
    x = 3,018,929,387.43/62,092.09
  6. Step 6: Final answer
    x = 48,620.19

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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.