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Finding the Fourth Proportional to 55,773.82, 76,968.80 and 30,280.19

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Solution

The fourth proportional to 55,773.82, 76,968.80 and 30,280.19 is: 41,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,773.82 : 76,968.80 = 30,280.19 : x
  2. Step 2: Convert to fraction form
    55,773.82/76,968.80 = 30,280.19/x
  3. Step 3: Cross multiply
    55,773.82x = 76,968.80 × 30,280.19
  4. Step 4: Simplify right side
    55,773.82x = 2,330,629,465.38
  5. Step 5: Solve for x
    x = 2,330,629,465.38/55,773.82
  6. Step 6: Final answer
    x = 41,787.16

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Why These Related Problems?

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