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Finding the Fourth Proportional to 38,186.64, 52,698.15 and 21,191.22

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Solution

The fourth proportional to 38,186.64, 52,698.15 and 21,191.22 is: 29,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,186.64 : 52,698.15 = 21,191.22 : x
  2. Step 2: Convert to fraction form
    38,186.64/52,698.15 = 21,191.22/x
  3. Step 3: Cross multiply
    38,186.64x = 52,698.15 × 21,191.22
  4. Step 4: Simplify right side
    38,186.64x = 1,116,738,090.24
  5. Step 5: Solve for x
    x = 1,116,738,090.24/38,186.64
  6. Step 6: Final answer
    x = 29,244.21

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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.