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Finding the Fourth Proportional to 69,876.96, 96,415.20 and 41,577.12

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Solution

The fourth proportional to 69,876.96, 96,415.20 and 41,577.12 is: 57,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876.96 : 96,415.20 = 41,577.12 : x
  2. Step 2: Convert to fraction form
    69,876.96/96,415.20 = 41,577.12/x
  3. Step 3: Cross multiply
    69,876.96x = 96,415.20 × 41,577.12
  4. Step 4: Simplify right side
    69,876.96x = 4,008,666,340.22
  5. Step 5: Solve for x
    x = 4,008,666,340.22/69,876.96
  6. Step 6: Final answer
    x = 57,367.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.