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Finding the Fourth Proportional to 55,050.96, 75,945.96 and 32,682

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Solution

The fourth proportional to 55,050.96, 75,945.96 and 32,682 is: 45,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,050.96 : 75,945.96 = 32,682 : x
  2. Step 2: Convert to fraction form
    55,050.96/75,945.96 = 32,682/x
  3. Step 3: Cross multiply
    55,050.96x = 75,945.96 × 32,682
  4. Step 4: Simplify right side
    55,050.96x = 2,482,065,864.72
  5. Step 5: Solve for x
    x = 2,482,065,864.72/55,050.96
  6. Step 6: Final answer
    x = 45,086.70

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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.