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Finding the Fourth Proportional to 33,235.86, 49,854.10 and 9,862.30

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Solution

The fourth proportional to 33,235.86, 49,854.10 and 9,862.30 is: 14,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,235.86 : 49,854.10 = 9,862.30 : x
  2. Step 2: Convert to fraction form
    33,235.86/49,854.10 = 9,862.30/x
  3. Step 3: Cross multiply
    33,235.86x = 49,854.10 × 9,862.30
  4. Step 4: Simplify right side
    33,235.86x = 491,676,090.43
  5. Step 5: Solve for x
    x = 491,676,090.43/33,235.86
  6. Step 6: Final answer
    x = 14,793.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.