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Finding the Fourth Proportional to 55,842.60, 83,618.10 and 36,013.80

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Solution

The fourth proportional to 55,842.60, 83,618.10 and 36,013.80 is: 53,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.60 : 83,618.10 = 36,013.80 : x
  2. Step 2: Convert to fraction form
    55,842.60/83,618.10 = 36,013.80/x
  3. Step 3: Cross multiply
    55,842.60x = 83,618.10 × 36,013.80
  4. Step 4: Simplify right side
    55,842.60x = 3,011,405,529.78
  5. Step 5: Solve for x
    x = 3,011,405,529.78/55,842.60
  6. Step 6: Final answer
    x = 53,926.67

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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.