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Finding the Fourth Proportional to 29,592.82, 40,837.86 and 16,164.07

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Solution

The fourth proportional to 29,592.82, 40,837.86 and 16,164.07 is: 22,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,592.82 : 40,837.86 = 16,164.07 : x
  2. Step 2: Convert to fraction form
    29,592.82/40,837.86 = 16,164.07/x
  3. Step 3: Cross multiply
    29,592.82x = 40,837.86 × 16,164.07
  4. Step 4: Simplify right side
    29,592.82x = 660,106,027.69
  5. Step 5: Solve for x
    x = 660,106,027.69/29,592.82
  6. Step 6: Final answer
    x = 22,306.29

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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.