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Finding the Fourth Proportional to 38,455.83, 53,093.07 and 29,486.09

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Solution

The fourth proportional to 38,455.83, 53,093.07 and 29,486.09 is: 40,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,455.83 : 53,093.07 = 29,486.09 : x
  2. Step 2: Convert to fraction form
    38,455.83/53,093.07 = 29,486.09/x
  3. Step 3: Cross multiply
    38,455.83x = 53,093.07 × 29,486.09
  4. Step 4: Simplify right side
    38,455.83x = 1,565,507,173.13
  5. Step 5: Solve for x
    x = 1,565,507,173.13/38,455.83
  6. Step 6: Final answer
    x = 40,709.23

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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.