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Finding the Fourth Proportional to 76,415.61, 105,235.50 and 55,161.21

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Solution

The fourth proportional to 76,415.61, 105,235.50 and 55,161.21 is: 75,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.61 : 105,235.50 = 55,161.21 : x
  2. Step 2: Convert to fraction form
    76,415.61/105,235.50 = 55,161.21/x
  3. Step 3: Cross multiply
    76,415.61x = 105,235.50 × 55,161.21
  4. Step 4: Simplify right side
    76,415.61x = 5,804,917,514.96
  5. Step 5: Solve for x
    x = 5,804,917,514.96/76,415.61
  6. Step 6: Final answer
    x = 75,965.07

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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.