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Finding the Fourth Proportional to 55,980.84, 83,982.34 and 16,000.20

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Solution

The fourth proportional to 55,980.84, 83,982.34 and 16,000.20 is: 24,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980.84 : 83,982.34 = 16,000.20 : x
  2. Step 2: Convert to fraction form
    55,980.84/83,982.34 = 16,000.20/x
  3. Step 3: Cross multiply
    55,980.84x = 83,982.34 × 16,000.20
  4. Step 4: Simplify right side
    55,980.84x = 1,343,734,236.47
  5. Step 5: Solve for x
    x = 1,343,734,236.47/55,980.84
  6. Step 6: Final answer
    x = 24,003.47

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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.