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Finding the Fourth Proportional to 51,350.50, 77,038.73 and 14,414.50

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Solution

The fourth proportional to 51,350.50, 77,038.73 and 14,414.50 is: 21,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,350.50 : 77,038.73 = 14,414.50 : x
  2. Step 2: Convert to fraction form
    51,350.50/77,038.73 = 14,414.50/x
  3. Step 3: Cross multiply
    51,350.50x = 77,038.73 × 14,414.50
  4. Step 4: Simplify right side
    51,350.50x = 1,110,474,773.59
  5. Step 5: Solve for x
    x = 1,110,474,773.59/51,350.50
  6. Step 6: Final answer
    x = 21,625.39

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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.