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Finding the Fourth Proportional to 55,727.92, 76,903.84 and 30,577.40

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Solution

The fourth proportional to 55,727.92, 76,903.84 and 30,577.40 is: 42,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,727.92 : 76,903.84 = 30,577.40 : x
  2. Step 2: Convert to fraction form
    55,727.92/76,903.84 = 30,577.40/x
  3. Step 3: Cross multiply
    55,727.92x = 76,903.84 × 30,577.40
  4. Step 4: Simplify right side
    55,727.92x = 2,351,519,477.22
  5. Step 5: Solve for x
    x = 2,351,519,477.22/55,727.92
  6. Step 6: Final answer
    x = 42,196.43

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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.