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Finding the Fourth Proportional to 55,728.84, 76,905.77 and 30,235.22

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Solution

The fourth proportional to 55,728.84, 76,905.77 and 30,235.22 is: 41,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728.84 : 76,905.77 = 30,235.22 : x
  2. Step 2: Convert to fraction form
    55,728.84/76,905.77 = 30,235.22/x
  3. Step 3: Cross multiply
    55,728.84x = 76,905.77 × 30,235.22
  4. Step 4: Simplify right side
    55,728.84x = 2,325,262,875.22
  5. Step 5: Solve for x
    x = 2,325,262,875.22/55,728.84
  6. Step 6: Final answer
    x = 41,724.59

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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.