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Finding the Fourth Proportional to 38,009.66, 52,453.20 and 21,242.66

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Solution

The fourth proportional to 38,009.66, 52,453.20 and 21,242.66 is: 29,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.66 : 52,453.20 = 21,242.66 : x
  2. Step 2: Convert to fraction form
    38,009.66/52,453.20 = 21,242.66/x
  3. Step 3: Cross multiply
    38,009.66x = 52,453.20 × 21,242.66
  4. Step 4: Simplify right side
    38,009.66x = 1,114,245,493.51
  5. Step 5: Solve for x
    x = 1,114,245,493.51/38,009.66
  6. Step 6: Final answer
    x = 29,314.80

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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.