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Finding the Fourth Proportional to 55,652.84, 83,442.24 and 28,933.20

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Solution

The fourth proportional to 55,652.84, 83,442.24 and 28,933.20 is: 43,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652.84 : 83,442.24 = 28,933.20 : x
  2. Step 2: Convert to fraction form
    55,652.84/83,442.24 = 28,933.20/x
  3. Step 3: Cross multiply
    55,652.84x = 83,442.24 × 28,933.20
  4. Step 4: Simplify right side
    55,652.84x = 2,414,251,018.37
  5. Step 5: Solve for x
    x = 2,414,251,018.37/55,652.84
  6. Step 6: Final answer
    x = 43,380.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.