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Finding the Fourth Proportional to 29,722.98, 41,010.98 and 20,164.17

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Solution

The fourth proportional to 29,722.98, 41,010.98 and 20,164.17 is: 27,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,722.98 : 41,010.98 = 20,164.17 : x
  2. Step 2: Convert to fraction form
    29,722.98/41,010.98 = 20,164.17/x
  3. Step 3: Cross multiply
    29,722.98x = 41,010.98 × 20,164.17
  4. Step 4: Simplify right side
    29,722.98x = 826,952,271.77
  5. Step 5: Solve for x
    x = 826,952,271.77/29,722.98
  6. Step 6: Final answer
    x = 27,821.98

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1.5x scale

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.