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Finding the Fourth Proportional to 55,928.88, 77,181.05 and 30,778.38

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Solution

The fourth proportional to 55,928.88, 77,181.05 and 30,778.38 is: 42,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928.88 : 77,181.05 = 30,778.38 : x
  2. Step 2: Convert to fraction form
    55,928.88/77,181.05 = 30,778.38/x
  3. Step 3: Cross multiply
    55,928.88x = 77,181.05 × 30,778.38
  4. Step 4: Simplify right side
    55,928.88x = 2,375,507,762.64
  5. Step 5: Solve for x
    x = 2,375,507,762.64/55,928.88
  6. Step 6: Final answer
    x = 42,473.72

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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.