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Finding the Fourth Proportional to 55,577.70, 76,697.22 and 30,427.20

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Solution

The fourth proportional to 55,577.70, 76,697.22 and 30,427.20 is: 41,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,577.70 : 76,697.22 = 30,427.20 : x
  2. Step 2: Convert to fraction form
    55,577.70/76,697.22 = 30,427.20/x
  3. Step 3: Cross multiply
    55,577.70x = 76,697.22 × 30,427.20
  4. Step 4: Simplify right side
    55,577.70x = 2,333,681,652.38
  5. Step 5: Solve for x
    x = 2,333,681,652.38/55,577.70
  6. Step 6: Final answer
    x = 41,989.53

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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.