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Finding the Fourth Proportional to 38,009.16, 52,452.51 and 21,242.16

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Solution

The fourth proportional to 38,009.16, 52,452.51 and 21,242.16 is: 29,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.16 : 52,452.51 = 21,242.16 : x
  2. Step 2: Convert to fraction form
    38,009.16/52,452.51 = 21,242.16/x
  3. Step 3: Cross multiply
    38,009.16x = 52,452.51 × 21,242.16
  4. Step 4: Simplify right side
    38,009.16x = 1,114,204,609.82
  5. Step 5: Solve for x
    x = 1,114,204,609.82/38,009.16
  6. Step 6: Final answer
    x = 29,314.11

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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.