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Finding the Fourth Proportional to 51,854.22, 77,780.82 and 23,766.30

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Solution

The fourth proportional to 51,854.22, 77,780.82 and 23,766.30 is: 35,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.22 : 77,780.82 = 23,766.30 : x
  2. Step 2: Convert to fraction form
    51,854.22/77,780.82 = 23,766.30/x
  3. Step 3: Cross multiply
    51,854.22x = 77,780.82 × 23,766.30
  4. Step 4: Simplify right side
    51,854.22x = 1,848,562,302.37
  5. Step 5: Solve for x
    x = 1,848,562,302.37/51,854.22
  6. Step 6: Final answer
    x = 35,649.22

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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.