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Finding the Fourth Proportional to 20,053.36, 30,079.90 and 15,674.50

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Solution

The fourth proportional to 20,053.36, 30,079.90 and 15,674.50 is: 23,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.36 : 30,079.90 = 15,674.50 : x
  2. Step 2: Convert to fraction form
    20,053.36/30,079.90 = 15,674.50/x
  3. Step 3: Cross multiply
    20,053.36x = 30,079.90 × 15,674.50
  4. Step 4: Simplify right side
    20,053.36x = 471,487,392.55
  5. Step 5: Solve for x
    x = 471,487,392.55/20,053.36
  6. Step 6: Final answer
    x = 23,511.64

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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.