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Finding the Fourth Proportional to 55,906.31, 83,860.05 and 16,464.17

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Solution

The fourth proportional to 55,906.31, 83,860.05 and 16,464.17 is: 24,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.31 : 83,860.05 = 16,464.17 : x
  2. Step 2: Convert to fraction form
    55,906.31/83,860.05 = 16,464.17/x
  3. Step 3: Cross multiply
    55,906.31x = 83,860.05 × 16,464.17
  4. Step 4: Simplify right side
    55,906.31x = 1,380,686,119.41
  5. Step 5: Solve for x
    x = 1,380,686,119.41/55,906.31
  6. Step 6: Final answer
    x = 24,696.43

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1.5x scale

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.