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Finding the Fourth Proportional to 35,854.67, 53,782.92 and 20,050.88

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Solution

The fourth proportional to 35,854.67, 53,782.92 and 20,050.88 is: 30,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,854.67 : 53,782.92 = 20,050.88 : x
  2. Step 2: Convert to fraction form
    35,854.67/53,782.92 = 20,050.88/x
  3. Step 3: Cross multiply
    35,854.67x = 53,782.92 × 20,050.88
  4. Step 4: Simplify right side
    35,854.67x = 1,078,394,606.06
  5. Step 5: Solve for x
    x = 1,078,394,606.06/35,854.67
  6. Step 6: Final answer
    x = 30,076.82

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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.