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Finding the Fourth Proportional to 51,577.50, 77,400.83 and 18,745.50

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Solution

The fourth proportional to 51,577.50, 77,400.83 and 18,745.50 is: 28,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,577.50 : 77,400.83 = 18,745.50 : x
  2. Step 2: Convert to fraction form
    51,577.50/77,400.83 = 18,745.50/x
  3. Step 3: Cross multiply
    51,577.50x = 77,400.83 × 18,745.50
  4. Step 4: Simplify right side
    51,577.50x = 1,450,917,258.77
  5. Step 5: Solve for x
    x = 1,450,917,258.77/51,577.50
  6. Step 6: Final answer
    x = 28,130.82

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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.