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Finding the Fourth Proportional to 38,157.36, 52,657.16 and 21,164.21

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Solution

The fourth proportional to 38,157.36, 52,657.16 and 21,164.21 is: 29,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,157.36 : 52,657.16 = 21,164.21 : x
  2. Step 2: Convert to fraction form
    38,157.36/52,657.16 = 21,164.21/x
  3. Step 3: Cross multiply
    38,157.36x = 52,657.16 × 21,164.21
  4. Step 4: Simplify right side
    38,157.36x = 1,114,447,192.24
  5. Step 5: Solve for x
    x = 1,114,447,192.24/38,157.36
  6. Step 6: Final answer
    x = 29,206.61

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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.