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Finding the Fourth Proportional to 38,431.52, 53,035.52 and 20,767.52

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Solution

The fourth proportional to 38,431.52, 53,035.52 and 20,767.52 is: 28,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431.52 : 53,035.52 = 20,767.52 : x
  2. Step 2: Convert to fraction form
    38,431.52/53,035.52 = 20,767.52/x
  3. Step 3: Cross multiply
    38,431.52x = 53,035.52 × 20,767.52
  4. Step 4: Simplify right side
    38,431.52x = 1,101,416,222.31
  5. Step 5: Solve for x
    x = 1,101,416,222.31/38,431.52
  6. Step 6: Final answer
    x = 28,659.19

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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.