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Finding the Fourth Proportional to 55,676.50, 83,527.72 and 18,740.50

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Solution

The fourth proportional to 55,676.50, 83,527.72 and 18,740.50 is: 28,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,676.50 : 83,527.72 = 18,740.50 : x
  2. Step 2: Convert to fraction form
    55,676.50/83,527.72 = 18,740.50/x
  3. Step 3: Cross multiply
    55,676.50x = 83,527.72 × 18,740.50
  4. Step 4: Simplify right side
    55,676.50x = 1,565,351,236.66
  5. Step 5: Solve for x
    x = 1,565,351,236.66/55,676.50
  6. Step 6: Final answer
    x = 28,115.12

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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.