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Finding the Fourth Proportional to 20,615.50, 30,923.45 and 5,033.13

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Solution

The fourth proportional to 20,615.50, 30,923.45 and 5,033.13 is: 7,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.50 : 30,923.45 = 5,033.13 : x
  2. Step 2: Convert to fraction form
    20,615.50/30,923.45 = 5,033.13/x
  3. Step 3: Cross multiply
    20,615.50x = 30,923.45 × 5,033.13
  4. Step 4: Simplify right side
    20,615.50x = 155,641,743.90
  5. Step 5: Solve for x
    x = 155,641,743.90/20,615.50
  6. Step 6: Final answer
    x = 7,549.74

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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.