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Finding the Fourth Proportional to 51,840.84, 77,773.60 and 16,780.50

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Solution

The fourth proportional to 51,840.84, 77,773.60 and 16,780.50 is: 25,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.84 : 77,773.60 = 16,780.50 : x
  2. Step 2: Convert to fraction form
    51,840.84/77,773.60 = 16,780.50/x
  3. Step 3: Cross multiply
    51,840.84x = 77,773.60 × 16,780.50
  4. Step 4: Simplify right side
    51,840.84x = 1,305,079,894.80
  5. Step 5: Solve for x
    x = 1,305,079,894.80/51,840.84
  6. Step 6: Final answer
    x = 25,174.74

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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.