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Finding the Fourth Proportional to 55,162.84, 82,756.68 and 20,102.62

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Solution

The fourth proportional to 55,162.84, 82,756.68 and 20,102.62 is: 30,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,162.84 : 82,756.68 = 20,102.62 : x
  2. Step 2: Convert to fraction form
    55,162.84/82,756.68 = 20,102.62/x
  3. Step 3: Cross multiply
    55,162.84x = 82,756.68 × 20,102.62
  4. Step 4: Simplify right side
    55,162.84x = 1,663,626,090.50
  5. Step 5: Solve for x
    x = 1,663,626,090.50/55,162.84
  6. Step 6: Final answer
    x = 30,158.46

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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.