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Finding the Fourth Proportional to 54,671.50, 75,441 and 32,009.32

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Solution

The fourth proportional to 54,671.50, 75,441 and 32,009.32 is: 44,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.50 : 75,441 = 32,009.32 : x
  2. Step 2: Convert to fraction form
    54,671.50/75,441 = 32,009.32/x
  3. Step 3: Cross multiply
    54,671.50x = 75,441 × 32,009.32
  4. Step 4: Simplify right side
    54,671.50x = 2,414,815,110.12
  5. Step 5: Solve for x
    x = 2,414,815,110.12/54,671.50
  6. Step 6: Final answer
    x = 44,169.54

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1.5x scale

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.