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Finding the Fourth Proportional to 30,011.40, 41,443.38 and 20,104.20

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Solution

The fourth proportional to 30,011.40, 41,443.38 and 20,104.20 is: 27,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.40 : 41,443.38 = 20,104.20 : x
  2. Step 2: Convert to fraction form
    30,011.40/41,443.38 = 20,104.20/x
  3. Step 3: Cross multiply
    30,011.40x = 41,443.38 × 20,104.20
  4. Step 4: Simplify right side
    30,011.40x = 833,186,000.20
  5. Step 5: Solve for x
    x = 833,186,000.20/30,011.40
  6. Step 6: Final answer
    x = 27,762.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.